74921412172800 has 132 divisors (see below), whose sum is σ = 247619169641816. Its totient is φ = 19979043225600.

The previous prime is 74921412172777. The next prime is 74921412172819. The reversal of 74921412172800 is 827121412947.

It is a super-2 number, since 2×74921412172800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 74921412172800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487692811 + ... + 487846410.

Almost surely, 2^{74921412172800} is an apocalyptic number.

It is an amenable number.

74921412172800 is an abundant number, since it is smaller than the sum of its proper divisors (172697757469016).

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

74921412172800 is a wasteful number, since it uses less digits than its factorization.

74921412172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975539254 (or 975539231 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 74921412172800 in words is "seventy-four trillion, nine hundred twenty-one billion, four hundred twelve million, one hundred seventy-two thousand, eight hundred".