8391607660800 has 2916 divisors, whose sum is σ = 38467944198684. Its totient is φ = 1739037081600.

The previous prime is 8391607660789. The next prime is 8391607660817. The reversal of 8391607660800 is 80667061938.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 7003094224896 + 1388513435904 = 2646336^2 + 1178352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 34819948680 + ... + 34819948920.

Almost surely, 2^{8391607660800} is an apocalyptic number.

8391607660800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8391607660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233972099342).

8391607660800 is an abundant number, since it is smaller than the sum of its proper divisors (30076336537884).

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

8391607660800 is a wasteful number, since it uses less digits than its factorization.

8391607660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 8391607660800 in words is "eight trillion, three hundred ninety-one billion, six hundred seven million, six hundred sixty thousand, eight hundred".