7995770566400 has 216 divisors, whose sum is σ = 20629076581680. Its totient is φ = 3065415598080.

The previous prime is 7995770566379. The next prime is 7995770566477. The reversal of 7995770566400 is 46650775997.

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 23 ways as a sum of consecutive naturals, for example, 15613616 + ... + 16117584.

Almost surely, 2^{7995770566400} 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 7995770566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314538290840).

7995770566400 is an abundant number, since it is smaller than the sum of its proper divisors (12633306015280).

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

7995770566400 is a wasteful number, since it uses less digits than its factorization.

7995770566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504099 (or 504080 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 65.

The spelling of 7995770566400 in words is "seven trillion, nine hundred ninety-five billion, seven hundred seventy million, five hundred sixty-six thousand, four hundred".