4756132800 has 126 divisors (see below), whose sum is σ = 16904470128. Its totient is φ = 1268298240.

The previous prime is 4756132769. The next prime is 4756132807. The reversal of 4756132800 is 82316574.

It is a super-2 number, since 2×4756132800² = 45241598422471680000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4756132807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150744 + ... + 179543.

Almost surely, 2^4756132800 is an apocalyptic number.

4756132800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4756132800 is an abundant number, since it is smaller than the sum of its proper divisors (12148337328).

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

4756132800 is a wasteful number, since it uses less digits than its factorization.

4756132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330315 (or 330297 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4756132800 is about 68964.7214160980. The cubic root of 4756132800 is about 1681.7108421920.

The spelling of 4756132800 in words is "four billion, seven hundred fifty-six million, one hundred thirty-two thousand, eight hundred".