5630264640 has 1680 divisors, whose sum is σ = 28253643264. Its totient is φ = 1045094400.

The previous prime is 5630264593. The next prime is 5630264657. The reversal of 5630264640 is 464620365.

5630264640 is a `hidden beast` number, since 5 + 6 + 3 + 0 + 2 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5630264595 and 5630264604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 181621425 + ... + 181621455.

Almost surely, 2^5630264640 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 5630264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126821632).

5630264640 is an abundant number, since it is smaller than the sum of its proper divisors (22623378624).

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

5630264640 is a wasteful number, since it uses less digits than its factorization.

5630264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5630264640 is about 75035.0893915640. The cubic root of 5630264640 is about 1779.0013166528.

The spelling of 5630264640 in words is "five billion, six hundred thirty million, two hundred sixty-four thousand, six hundred forty".