11634544660 has 72 divisors (see below), whose sum is σ = 26121645144. Its totient is φ = 4351825920.

The previous prime is 11634544657. The next prime is 11634544681. The reversal of 11634544660 is 6644543611.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3164287504 + 8470257156 = 56252^2 + 92034^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901050 + ... + 913870.

It is an arithmetic number, because the mean of its divisors is an integer number (362800627).

Almost surely, 2^11634544660 is an apocalyptic number.

11634544660 is a gapful number since it is divisible by the number (10) 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 11634544660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060822572).

11634544660 is an abundant number, since it is smaller than the sum of its proper divisors (14487100484).

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

11634544660 is a wasteful number, since it uses less digits than its factorization.

11634544660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13021 (or 13002 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 11634544660 in words is "eleven billion, six hundred thirty-four million, five hundred forty-four thousand, six hundred sixty".