7649630280 has 224 divisors, whose sum is σ = 27165859200. Its totient is φ = 1932398208.

The previous prime is 7649630207. The next prime is 7649630281. The reversal of 7649630280 is 820369467.

7649630280 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 630 + 2 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7649630281) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 547137 + ... + 560943.

Almost surely, 2^7649630280 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 7649630280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582929600).

7649630280 is an abundant number, since it is smaller than the sum of its proper divisors (19516228920).

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

7649630280 is a wasteful number, since it uses less digits than its factorization.

7649630280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13855 (or 13836 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7649630280 is about 87462.1648485790. The cubic root of 7649630280 is about 1970.3655930352.

The spelling of 7649630280 in words is "seven billion, six hundred forty-nine million, six hundred thirty thousand, two hundred eighty".