6132132864 has 660 divisors, whose sum is σ = 22137273312. Its totient is φ = 1678786560.

The previous prime is 6132132763. The next prime is 6132132889. The reversal of 6132132864 is 4682312316.

6132132864 is a `hidden beast` number, since 6 + 1 + 321 + 328 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 130470889 + ... + 130470935.

Almost surely, 2^6132132864 is an apocalyptic number.

6132132864 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 6132132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11068636656).

6132132864 is an abundant number, since it is smaller than the sum of its proper divisors (16005140448).

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

6132132864 is a wasteful number, since it uses less digits than its factorization.

6132132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6132132864 is about 78307.9361495372. The cubic root of 6132132864 is about 1830.3628197576.

The spelling of 6132132864 in words is "six billion, one hundred thirty-two million, one hundred thirty-two thousand, eight hundred sixty-four".