5107027968 has 312 divisors, whose sum is σ = 17507508928. Its totient is φ = 1457160192.

The previous prime is 5107027967. The next prime is 5107027973. The reversal of 5107027968 is 8697207015.

5107027968 is a `hidden beast` number, since 510 + 7 + 0 + 2 + 79 + 68 = 666.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (5107027963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6966930 + ... + 6967662.

Almost surely, 2^5107027968 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 5107027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8753754464).

5107027968 is an abundant number, since it is smaller than the sum of its proper divisors (12400480960).

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

5107027968 is an frugal number, since it uses more digits than its factorization.

5107027968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 5107027968 is about 71463.4729634657. The cubic root of 5107027968 is about 1722.0909274668.

The spelling of 5107027968 in words is "five billion, one hundred seven million, twenty-seven thousand, nine hundred sixty-eight".