7923797164800 has 648 divisors, whose sum is σ = 30981334828080. Its totient is φ = 1916161228800.

The previous prime is 7923797164781. The next prime is 7923797164819. The reversal of 7923797164800 is 84617973297.

7923797164800 is a `hidden beast` number, since 79 + 2 + 3 + 79 + 7 + 16 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7923797164781) and next prime (7923797164819).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 259127112 + ... + 259157688.

Almost surely, 2^{7923797164800} 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 7923797164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490667414040).

7923797164800 is an abundant number, since it is smaller than the sum of its proper divisors (23057537663280).

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

7923797164800 is a wasteful number, since it uses less digits than its factorization.

7923797164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31029 (or 31007 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 7923797164800 in words is "seven trillion, nine hundred twenty-three billion, seven hundred ninety-seven million, one hundred sixty-four thousand, eight hundred".