13764130632 has 256 divisors, whose sum is σ = 46185216000. Its totient is φ = 3710271744.

The previous prime is 13764130607. The next prime is 13764130643. The reversal of 13764130632 is 23603146731.

13764130632 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 4 + 13 + 0 + 632 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8129178 + ... + 8130870.

It is an arithmetic number, because the mean of its divisors is an integer number (180411000).

Almost surely, 2^13764130632 is an apocalyptic number.

13764130632 is a gapful number since it is divisible by the number (12) 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 13764130632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23092608000).

13764130632 is an abundant number, since it is smaller than the sum of its proper divisors (32421085368).

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

13764130632 is a wasteful number, since it uses less digits than its factorization.

13764130632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13764130632 in words is "thirteen billion, seven hundred sixty-four million, one hundred thirty thousand, six hundred thirty-two".