5095624464 has 240 divisors, whose sum is σ = 17250979200. Its totient is φ = 1455511680.

The previous prime is 5095624451. The next prime is 5095624487. The reversal of 5095624464 is 4644265905.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1331674 + ... + 1335494.

It is an arithmetic number, because the mean of its divisors is an integer number (71879080).

Almost surely, 2^5095624464 is an apocalyptic number.

5095624464 is a gapful number since it is divisible by the number (54) 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 5095624464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8625489600).

5095624464 is an abundant number, since it is smaller than the sum of its proper divisors (12155354736).

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

5095624464 is an equidigital number, since it uses as much as digits as its factorization.

5095624464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 5095624464 is about 71383.6428322343. The cubic root of 5095624464 is about 1720.8082176040.

The spelling of 5095624464 in words is "five billion, ninety-five million, six hundred twenty-four thousand, four hundred sixty-four".