6132412800 has 480 divisors, whose sum is σ = 23070900600. Its totient is φ = 1603584000.

The previous prime is 6132412799. The next prime is 6132412813. The reversal of 6132412800 is 82142316.

6132412800 is a `hidden beast` number, since 61 + 324 + 1 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 15292600 + ... + 15293000.

Almost surely, 2^6132412800 is an apocalyptic number.

6132412800 is a gapful number since it is divisible by the number (60) 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 6132412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11535450300).

6132412800 is an abundant number, since it is smaller than the sum of its proper divisors (16938487800).

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

6132412800 is a wasteful number, since it uses less digits than its factorization.

6132412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6132412800 is about 78309.7235341819. The cubic root of 6132412800 is about 1830.3906717661.

The spelling of 6132412800 in words is "six billion, one hundred thirty-two million, four hundred twelve thousand, eight hundred".