11642713632 has 384 divisors, whose sum is σ = 38513905920. Its totient is φ = 3390750720.

The previous prime is 11642713601. The next prime is 11642713661. The reversal of 11642713632 is 23631724611.

11642713632 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 2 + 7 + 13 + 632 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39736078 + ... + 39736370.

It is an arithmetic number, because the mean of its divisors is an integer number (100296630).

Almost surely, 2^11642713632 is an apocalyptic number.

11642713632 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 11642713632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19256952960).

11642713632 is an abundant number, since it is smaller than the sum of its proper divisors (26871192288).

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

11642713632 is a wasteful number, since it uses less digits than its factorization.

11642713632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 11642713632 in words is "eleven billion, six hundred forty-two million, seven hundred thirteen thousand, six hundred thirty-two".