5076656640 has 480 divisors, whose sum is σ = 19853729280. Its totient is φ = 1228677120.

The previous prime is 5076656633. The next prime is 5076656653. The reversal of 5076656640 is 466566705.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 8363217 + ... + 8363823.

It is an arithmetic number, because the mean of its divisors is an integer number (41361936).

Almost surely, 2^5076656640 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 5076656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9926864640).

5076656640 is an abundant number, since it is smaller than the sum of its proper divisors (14777072640).

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

5076656640 is a wasteful number, since it uses less digits than its factorization.

5076656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5076656640 is about 71250.6606285163. The cubic root of 5076656640 is about 1718.6703984468.

The spelling of 5076656640 in words is "five billion, seventy-six million, six hundred fifty-six thousand, six hundred forty".