67400896941504 has 1120 divisors, whose sum is σ = 238084033904640. Its totient is φ = 18449088768000.

The previous prime is 67400896941463. The next prime is 67400896941601. The reversal of 67400896941504 is 40514969800476.

67400896941504 is a `hidden beast` number, since 6 + 7 + 4 + 0 + 0 + 89 + 6 + 9 + 41 + 504 = 666.

67400896941504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×67400896941504³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 71173069159 + ... + 71173070105.

It is an arithmetic number, because the mean of its divisors is an integer number (212575030272).

Almost surely, 2^{67400896941504} is an apocalyptic number.

67400896941504 is a gapful number since it is divisible by the number (64) 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 67400896941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119042016952320).

67400896941504 is an abundant number, since it is smaller than the sum of its proper divisors (170683136963136).

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

67400896941504 is a wasteful number, since it uses less digits than its factorization.

67400896941504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 67400896941504 in words is "sixty-seven trillion, four hundred billion, eight hundred ninety-six million, nine hundred forty-one thousand, five hundred four".