5005376640 has 512 divisors, whose sum is σ = 20489760000. Its totient is φ = 1141309440.

The previous prime is 5005376627. The next prime is 5005376681. The reversal of 5005376640 is 466735005.

5005376640 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 3 + 7 + 6 + 640 = 666.

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 = 5005376595 and 5005376604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3230586 + ... + 3232134.

Almost surely, 2^5005376640 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 5005376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244880000).

5005376640 is an abundant number, since it is smaller than the sum of its proper divisors (15484383360).

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

5005376640 is a wasteful number, since it uses less digits than its factorization.

5005376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5005376640 is about 70748.6864895738. The cubic root of 5005376640 is about 1710.5886554464.

The spelling of 5005376640 in words is "five billion, five million, three hundred seventy-six thousand, six hundred forty".