74064092928000 has 1536 divisors, whose sum is σ = 291612969123840. Its totient is φ = 16332226560000.

The previous prime is 74064092927987. The next prime is 74064092928011. The reversal of 74064092928000 is 82929046047.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×74064092928000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86827775574 + ... + 86827776426.

It is an arithmetic number, because the mean of its divisors is an integer number (189852193440).

Almost surely, 2^{74064092928000} is an apocalyptic number.

74064092928000 is a gapful number since it is divisible by the number (70) 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 74064092928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145806484561920).

74064092928000 is an abundant number, since it is smaller than the sum of its proper divisors (217548876195840).

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

74064092928000 is a wasteful number, since it uses less digits than its factorization.

74064092928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 74064092928000 in words is "seventy-four trillion, sixty-four billion, ninety-two million, nine hundred twenty-eight thousand".