5057436672 has 264 divisors, whose sum is σ = 15327936000. Its totient is φ = 1604026368.

The previous prime is 5057436623. The next prime is 5057436679. The reversal of 5057436672 is 2766347505.

5057436672 is a `hidden beast` number, since 5 + 0 + 574 + 3 + 6 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5057436679) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33942454 + ... + 33942602.

Almost surely, 2^5057436672 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 5057436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663968000).

5057436672 is an abundant number, since it is smaller than the sum of its proper divisors (10270499328).

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

5057436672 is a wasteful number, since it uses less digits than its factorization.

5057436672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 5057436672 is about 71115.6570102534. The cubic root of 5057436672 is about 1716.4987221423.

The spelling of 5057436672 in words is "five billion, fifty-seven million, four hundred thirty-six thousand, six hundred seventy-two".