5064978600 has 480 divisors, whose sum is σ = 19666643040. Its totient is φ = 1197504000.

The previous prime is 5064978593. The next prime is 5064978613. The reversal of 5064978600 is 68794605.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7662270 + ... + 7662930.

It is an arithmetic number, because the mean of its divisors is an integer number (40972173).

Almost surely, 2^5064978600 is an apocalyptic number.

5064978600 is a gapful number since it is divisible by the number (50) 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 5064978600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9833321520).

5064978600 is an abundant number, since it is smaller than the sum of its proper divisors (14601664440).

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

5064978600 is a wasteful number, since it uses less digits than its factorization.

5064978600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5064978600 is about 71168.6630477207. The cubic root of 5064978600 is about 1717.3515441561.

The spelling of 5064978600 in words is "five billion, sixty-four million, nine hundred seventy-eight thousand, six hundred".