6132760800 has 72 divisors (see below), whose sum is σ = 19962144216. Its totient is φ = 1635402240.

The previous prime is 6132760789. The next prime is 6132760901. The reversal of 6132760800 is 80672316.

It is a super-2 number, since 2×6132760800² = 75221510060033280000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1275259 + ... + 1280058.

It is an arithmetic number, because the mean of its divisors is an integer number (277252003).

Almost surely, 2^6132760800 is an apocalyptic number.

6132760800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6132760800 is an abundant number, since it is smaller than the sum of its proper divisors (13829383416).

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

6132760800 is a wasteful number, since it uses less digits than its factorization.

6132760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555340 (or 2555327 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 6132760800 is about 78311.9454489543. The cubic root of 6132760800 is about 1830.4252945661.

The spelling of 6132760800 in words is "six billion, one hundred thirty-two million, seven hundred sixty thousand, eight hundred".