7900913664000 has 2040 divisors, whose sum is σ = 34409729893968. Its totient is φ = 1805923123200.

The previous prime is 7900913663999. The next prime is 7900913664013. The reversal of 7900913664000 is 4663190097.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 9! ⋅ 3!.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1128701951997 + ... + 1128701952003.

Almost surely, 2^{7900913664000} is an apocalyptic number.

7900913664000 is a gapful number since it is divisible by the number (70) 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 7900913664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204864946984).

7900913664000 is an abundant number, since it is smaller than the sum of its proper divisors (26508816229968).

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

7900913664000 is an frugal number, since it uses more digits than its factorization.

7900913664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 7900913664000 in words is "seven trillion, nine hundred billion, nine hundred thirteen million, six hundred sixty-four thousand".