5032564992 has 648 divisors, whose sum is σ = 18999192576. Its totient is φ = 1316818944.

The previous prime is 5032564981. The next prime is 5032565011. The reversal of 5032564992 is 2994652305.

5032564992 is a `hidden beast` number, since 50 + 32 + 564 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39626433 + ... + 39626559.

Almost surely, 2^5032564992 is an apocalyptic number.

5032564992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5032564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499596288).

5032564992 is an abundant number, since it is smaller than the sum of its proper divisors (13966627584).

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

5032564992 is a wasteful number, since it uses less digits than its factorization.

5032564992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5032564992 is about 70940.5736655688. The cubic root of 5032564992 is about 1713.6802730562.

The spelling of 5032564992 in words is "five billion, thirty-two million, five hundred sixty-four thousand, nine hundred ninety-two".