5079978624 has 256 divisors, whose sum is σ = 17190835200. Its totient is φ = 1293926400.

The previous prime is 5079978601. The next prime is 5079978661. The reversal of 5079978624 is 4268799705.

It is a super-3 number, since 3×5079978624³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 865299 + ... + 871149.

It is an arithmetic number, because the mean of its divisors is an integer number (67151700).

Almost surely, 2^5079978624 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 5079978624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595417600).

5079978624 is an abundant number, since it is smaller than the sum of its proper divisors (12110856576).

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

5079978624 is a wasteful number, since it uses less digits than its factorization.

5079978624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The square root of 5079978624 is about 71273.9687684080. The cubic root of 5079978624 is about 1719.0451956857.

The spelling of 5079978624 in words is "five billion, seventy-nine million, nine hundred seventy-eight thousand, six hundred twenty-four".