74997504000 has 576 divisors, whose sum is σ = 276977020320. Its totient is φ = 19508428800.

The previous prime is 74997503981. The next prime is 74997504017. The reversal of 74997504000 is 40579947.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99071622 + ... + 99072378.

Almost surely, 2^74997504000 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 74997504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138488510160).

74997504000 is an abundant number, since it is smaller than the sum of its proper divisors (201979516320).

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

74997504000 is a wasteful number, since it uses less digits than its factorization.

74997504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 74997504000 in words is "seventy-four billion, nine hundred ninety-seven million, five hundred four thousand".