7912960000 has 260 divisors, whose sum is σ = 21648026664. Its totient is φ = 2867200000.

The previous prime is 7912959973. The next prime is 7912960051. The reversal of 7912960000 is 692197.

It is a super-2 number, since 2×7912960000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28159860 + ... + 28160140.

Almost surely, 2^7912960000 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 7912960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10824013332).

7912960000 is an abundant number, since it is smaller than the sum of its proper divisors (13735066664).

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

7912960000 is an equidigital number, since it uses as much as digits as its factorization.

7912960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 7912960000 is about 88954.8199930729. The cubic root of 7912960000 is about 1992.7202010802.

It can be divided in two parts, 79129 and 60000, that added together give a square (139129 = 373²).

The spelling of 7912960000 in words is "seven billion, nine hundred twelve million, nine hundred sixty thousand".