7628626320 has 320 divisors, whose sum is σ = 28866723840. Its totient is φ = 1628928000.

The previous prime is 7628626301. The next prime is 7628626373. The reversal of 7628626320 is 236268267.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1507795 + ... + 1512845.

It is an arithmetic number, because the mean of its divisors is an integer number (90208512).

Almost surely, 2^7628626320 is an apocalyptic number.

7628626320 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 7628626320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433361920).

7628626320 is an abundant number, since it is smaller than the sum of its proper divisors (21238097520).

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

7628626320 is a wasteful number, since it uses less digits than its factorization.

7628626320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 7628626320 is about 87342.0077625881. The cubic root of 7628626320 is about 1968.5605639244.

The spelling of 7628626320 in words is "seven billion, six hundred twenty-eight million, six hundred twenty-six thousand, three hundred twenty".