74931997544100 has 576 divisors, whose sum is σ = 263129718620160. Its totient is φ = 18235990080000.

The previous prime is 74931997544093. The next prime is 74931997544111. The reversal of 74931997544100 is 144579913947.

74931997544100 is a `hidden beast` number, since 7 + 4 + 9 + 31 + 99 + 75 + 441 + 0 + 0 = 666.

74931997544100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×74931997544100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136407990 + ... + 136956210.

It is an arithmetic number, because the mean of its divisors is an integer number (456822428160).

Almost surely, 2^{74931997544100} 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 74931997544100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131564859310080).

74931997544100 is an abundant number, since it is smaller than the sum of its proper divisors (188197721076060).

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

74931997544100 is a wasteful number, since it uses less digits than its factorization.

74931997544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548369 (or 548356 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 74931997544100 in words is "seventy-four trillion, nine hundred thirty-one billion, nine hundred ninety-seven million, five hundred forty-four thousand, one hundred".