74504081664 has 288 divisors, whose sum is σ = 232664432000. Its totient is φ = 23451918336.

The previous prime is 74504081653. The next prime is 74504081671. The reversal of 74504081664 is 46618040547.

74504081664 is a `hidden beast` number, since 7 + 4 + 504 + 0 + 81 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52136502 + ... + 52137930.

Almost surely, 2^74504081664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74504081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116332216000).

74504081664 is an abundant number, since it is smaller than the sum of its proper divisors (158160350336).

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

74504081664 is a wasteful number, since it uses less digits than its factorization.

74504081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 74504081664 in words is "seventy-four billion, five hundred four million, eighty-one thousand, six hundred sixty-four".