67466225347920 has 2560 divisors, whose sum is σ = 290565974016000. Its totient is φ = 14224546971648.

The previous prime is 67466225347897. The next prime is 67466225347943. The reversal of 67466225347920 is 2974352266476.

It is a happy number.

67466225347920 is a `hidden beast` number, since 6 + 7 + 4 + 6 + 6 + 2 + 2 + 534 + 7 + 92 + 0 = 666.

67466225347920 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 (67466225347897) and next prime (67466225347943).

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 511 ways as a sum of consecutive naturals, for example, 215547045684 + ... + 215547045996.

It is an arithmetic number, because the mean of its divisors is an integer number (113502333600).

Almost surely, 2^{67466225347920} is an apocalyptic number.

67466225347920 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 67466225347920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145282987008000).

67466225347920 is an abundant number, since it is smaller than the sum of its proper divisors (223099748668080).

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

67466225347920 is a wasteful number, since it uses less digits than its factorization.

67466225347920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 67466225347920 in words is "sixty-seven trillion, four hundred sixty-six billion, two hundred twenty-five million, three hundred forty-seven thousand, nine hundred twenty".