5000974560 has 384 divisors, whose sum is σ = 18289152000. Its totient is φ = 1274849280.

The previous prime is 5000974547. The next prime is 5000974567. The reversal of 5000974560 is 654790005.

5000974560 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 97 + 4 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000974567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14329266 + ... + 14329614.

It is an arithmetic number, because the mean of its divisors is an integer number (47628000).

Almost surely, 2^5000974560 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 5000974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144576000).

5000974560 is an abundant number, since it is smaller than the sum of its proper divisors (13288177440).

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

5000974560 is a wasteful number, since it uses less digits than its factorization.

5000974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5000974560 is about 70717.5689627408. The cubic root of 5000974560 is about 1710.0870377366.

The spelling of 5000974560 in words is "five billion, nine hundred seventy-four thousand, five hundred sixty".