7912628640 has 384 divisors, whose sum is σ = 32254225920. Its totient is φ = 1774116864.

The previous prime is 7912628639. The next prime is 7912628657. The reversal of 7912628640 is 468262197.

It is a happy number.

7912628640 is a `hidden beast` number, since 7 + 9 + 12 + 628 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1600252 + ... + 1605188.

It is an arithmetic number, because the mean of its divisors is an integer number (83995380).

Almost surely, 2^7912628640 is an apocalyptic number.

7912628640 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 7912628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16127112960).

7912628640 is an abundant number, since it is smaller than the sum of its proper divisors (24341597280).

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

7912628640 is a wasteful number, since it uses less digits than its factorization.

7912628640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7912628640 is about 88952.9574550504. The cubic root of 7912628640 is about 1992.6923852362.

The spelling of 7912628640 in words is "seven billion, nine hundred twelve million, six hundred twenty-eight thousand, six hundred forty".