7991814758400 has 1344 divisors, whose sum is σ = 32436263946240. Its totient is φ = 1912858214400.

The previous prime is 7991814758399. The next prime is 7991814758437. The reversal of 7991814758400 is 48574181997.

7991814758400 is a `hidden beast` number, since 7 + 9 + 9 + 1 + 8 + 1 + 47 + 584 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5048524009 + ... + 5048525591.

It is an arithmetic number, because the mean of its divisors is an integer number (24134124960).

Almost surely, 2^{7991814758400} 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 7991814758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16218131973120).

7991814758400 is an abundant number, since it is smaller than the sum of its proper divisors (24444449187840).

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

7991814758400 is a wasteful number, since it uses less digits than its factorization.

7991814758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 7991814758400 in words is "seven trillion, nine hundred ninety-one billion, eight hundred fourteen million, seven hundred fifty-eight thousand, four hundred".