6132631633920 has 1024 divisors, whose sum is σ = 23946677740800. Its totient is φ = 1476730552320.

The previous prime is 6132631633873. The next prime is 6132631633927. The reversal of 6132631633920 is 293361362316.

6132631633920 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 6 + 3 + 1 + 633 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6132631633927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9391472314 + ... + 9391472966.

Almost surely, 2^{6132631633920} is an apocalyptic number.

6132631633920 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 6132631633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973338870400).

6132631633920 is an abundant number, since it is smaller than the sum of its proper divisors (17814046106880).

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

6132631633920 is a wasteful number, since it uses less digits than its factorization.

6132631633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 6132631633920 in words is "six trillion, one hundred thirty-two billion, six hundred thirty-one million, six hundred thirty-three thousand, nine hundred twenty".