5107766400 has 576 divisors, whose sum is σ = 20776616640. Its totient is φ = 1182720000.

The previous prime is 5107766393. The next prime is 5107766431. The reversal of 5107766400 is 46677015.

5107766400 is a `hidden beast` number, since 5 + 1 + 0 + 7 + 7 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 7286050 + ... + 7286750.

It is an arithmetic number, because the mean of its divisors is an integer number (36070515).

Almost surely, 2^5107766400 is an apocalyptic number.

5107766400 is a gapful number since it is divisible by the number (50) 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 5107766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10388308320).

5107766400 is an abundant number, since it is smaller than the sum of its proper divisors (15668850240).

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

5107766400 is a wasteful number, since it uses less digits than its factorization.

5107766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5107766400 is about 71468.6392762588. The cubic root of 5107766400 is about 1722.1739232765.

The spelling of 5107766400 in words is "five billion, one hundred seven million, seven hundred sixty-six thousand, four hundred".