7999668864000 has 2112 divisors, whose sum is σ = 33074497677312. Its totient is φ = 1912025088000.

The previous prime is 7999668863959. The next prime is 7999668864023. The reversal of 7999668864000 is 4688669997.

7999668864000 is a `hidden beast` number, since 79 + 9 + 96 + 68 + 8 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7999668864000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35240831887 + ... + 35240832113.

Almost surely, 2^{7999668864000} 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 7999668864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16537248838656).

7999668864000 is an abundant number, since it is smaller than the sum of its proper divisors (25074828813312).

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

7999668864000 is a wasteful number, since it uses less digits than its factorization.

7999668864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 7999668864000 in words is "seven trillion, nine hundred ninety-nine billion, six hundred sixty-eight million, eight hundred sixty-four thousand".