5007657600 has 576 divisors, whose sum is σ = 20186208000. Its totient is φ = 1211443200.

The previous prime is 5007657553. The next prime is 5007657607. The reversal of 5007657600 is 67567005.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5007657607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10454161 + ... + 10454639.

It is an arithmetic number, because the mean of its divisors is an integer number (35045500).

Almost surely, 2^5007657600 is an apocalyptic number.

5007657600 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 5007657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10093104000).

5007657600 is an abundant number, since it is smaller than the sum of its proper divisors (15178550400).

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

5007657600 is a wasteful number, since it uses less digits than its factorization.

5007657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5007657600 is about 70764.8048114315. The cubic root of 5007657600 is about 1710.8484555272.

The spelling of 5007657600 in words is "five billion, seven million, six hundred fifty-seven thousand, six hundred".