5107774464 has 264 divisors, whose sum is σ = 16481788960. Its totient is φ = 1570627584.

The previous prime is 5107774453. The next prime is 5107774499. The reversal of 5107774464 is 4644777015.

5107774464 is a `hidden beast` number, since 51 + 0 + 77 + 74 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3234027 + ... + 3235605.

Almost surely, 2^5107774464 is an apocalyptic number.

5107774464 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 5107774464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240894480).

5107774464 is an abundant number, since it is smaller than the sum of its proper divisors (11374014496).

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

5107774464 is a wasteful number, since it uses less digits than its factorization.

5107774464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 5107774464 is about 71468.6956925898. The cubic root of 5107774464 is about 1722.1748295828.

The spelling of 5107774464 in words is "five billion, one hundred seven million, seven hundred seventy-four thousand, four hundred sixty-four".