67401875934720 has 1280 divisors, whose sum is σ = 249929492060160. Its totient is φ = 17417483550720.

The previous prime is 67401875934713. The next prime is 67401875934727. The reversal of 67401875934720 is 2743957810476.

67401875934720 is a `hidden beast` number, since 6 + 7 + 4 + 0 + 1 + 8 + 75 + 93 + 472 + 0 = 666.

67401875934720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (67401875934713) and next prime (67401875934727).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67401875934727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68567523349 + ... + 68567524331.

It is an arithmetic number, because the mean of its divisors is an integer number (195257415672).

It is a 1-persistent number, because it is pandigital, but 2⋅67401875934720 = 134803751869440 is not.

Almost surely, 2^{67401875934720} is an apocalyptic number.

67401875934720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67401875934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124964746030080).

67401875934720 is an abundant number, since it is smaller than the sum of its proper divisors (182527616125440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67401875934720 is an frugal number, since it uses more digits than its factorization.

67401875934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 67401875934720 in words is "sixty-seven trillion, four hundred one billion, eight hundred seventy-five million, nine hundred thirty-four thousand, seven hundred twenty".