5630791680 has 416 divisors, whose sum is σ = 21231072000. Its totient is φ = 1410859008.

The previous prime is 5630791679. The next prime is 5630791693. The reversal of 5630791680 is 861970365.

It is a happy number.

5630791680 is a `hidden beast` number, since 5 + 630 + 7 + 9 + 1 + 6 + 8 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9400021 + ... + 9400619.

Almost surely, 2^5630791680 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 5630791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10615536000).

5630791680 is an abundant number, since it is smaller than the sum of its proper divisors (15600280320).

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

5630791680 is a wasteful number, since it uses less digits than its factorization.

5630791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5630791680 is about 75038.6012662816. The cubic root of 5630791680 is about 1779.0568247364.

The spelling of 5630791680 in words is "five billion, six hundred thirty million, seven hundred ninety-one thousand, six hundred eighty".