74731356995328 has 576 divisors, whose sum is σ = 242531922124800. Its totient is φ = 22510089584640.

The previous prime is 74731356995291. The next prime is 74731356995329. The reversal of 74731356995328 is 82359965313747.

74731356995328 is a `hidden beast` number, since 7 + 4 + 7 + 3 + 1 + 3 + 569 + 9 + 53 + 2 + 8 = 666.

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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74731356995329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25957399393 + ... + 25957402271.

It is an arithmetic number, because the mean of its divisors is an integer number (421062364800).

Almost surely, 2^{74731356995328} 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 74731356995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121265961062400).

74731356995328 is an abundant number, since it is smaller than the sum of its proper divisors (167800565129472).

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

74731356995328 is a wasteful number, since it uses less digits than its factorization.

74731356995328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4825 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 74731356995328 in words is "seventy-four trillion, seven hundred thirty-one billion, three hundred fifty-six million, nine hundred ninety-five thousand, three hundred twenty-eight".