6132357504 has 1024 divisors, whose sum is σ = 25004851200. Its totient is φ = 1433272320.

The previous prime is 6132357449. The next prime is 6132357529. The reversal of 6132357504 is 4057532316.

6132357504 is a `hidden beast` number, since 61 + 3 + 23 + 575 + 0 + 4 = 666.

It is a super-2 number, since 2×6132357504² = 75211617113730220032, 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 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 127 ways as a sum of consecutive naturals, for example, 165739374 + ... + 165739410.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 2^6132357504 is an apocalyptic number.

6132357504 is a gapful number since it is divisible by the number (64) 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 6132357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12502425600).

6132357504 is an abundant number, since it is smaller than the sum of its proper divisors (18872493696).

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

6132357504 is a wasteful number, since it uses less digits than its factorization.

6132357504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 6132357504 is about 78309.3704737817. The cubic root of 6132357504 is about 1830.3851702020.

The spelling of 6132357504 in words is "six billion, one hundred thirty-two million, three hundred fifty-seven thousand, five hundred four".