7993974067200 has 2496 divisors, whose sum is σ = 33853966540800. Its totient is φ = 1831403520000.

The previous prime is 7993974067153. The next prime is 7993974067223. The reversal of 7993974067200 is 27604793997.

7993974067200 is a `hidden beast` number, since 79 + 9 + 3 + 97 + 406 + 72 + 0 + 0 = 666.

It is a super-3 number, since 3×7993974067200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 57510604731 + ... + 57510604869.

Almost surely, 2^{7993974067200} 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 7993974067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926983270400).

7993974067200 is an abundant number, since it is smaller than the sum of its proper divisors (25859992473600).

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

7993974067200 is a wasteful number, since it uses less digits than its factorization.

7993974067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 7993974067200 in words is "seven trillion, nine hundred ninety-three billion, nine hundred seventy-four million, sixty-seven thousand, two hundred".