5630064174720 has 640 divisors, whose sum is σ = 20319009796800. Its totient is φ = 1485513768960.

The previous prime is 5630064174719. The next prime is 5630064174731. The reversal of 5630064174720 is 274714600365.

5630064174720 is a `hidden beast` number, since 5 + 630 + 0 + 6 + 4 + 1 + 7 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×5630064174720² (a number of 26 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 2777534347 + ... + 2777536373.

Almost surely, 2^{5630064174720} 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 5630064174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10159504898400).

5630064174720 is an abundant number, since it is smaller than the sum of its proper divisors (14688945622080).

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

5630064174720 is a wasteful number, since it uses less digits than its factorization.

5630064174720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 5630064174720 in words is "five trillion, six hundred thirty billion, sixty-four million, one hundred seventy-four thousand, seven hundred twenty".