5107644864 has 280 divisors, whose sum is σ = 17730813408. Its totient is φ = 1423319040.

The previous prime is 5107644859. The next prime is 5107644881. The reversal of 5107644864 is 4684467015.

5107644864 is a `hidden beast` number, since 5 + 107 + 64 + 486 + 4 = 666.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1486092 + ... + 1489524.

Almost surely, 2^5107644864 is an apocalyptic number.

5107644864 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 5107644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8865406704).

5107644864 is an abundant number, since it is smaller than the sum of its proper divisors (12623168544).

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

5107644864 is a wasteful number, since it uses less digits than its factorization.

5107644864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5107644864 is about 71467.7889961625. The cubic root of 5107644864 is about 1722.1602638297.

The spelling of 5107644864 in words is "five billion, one hundred seven million, six hundred forty-four thousand, eight hundred sixty-four".