11634670960 has 160 divisors (see below), whose sum is σ = 30071736000. Its totient is φ = 4151009280.

The previous prime is 11634670937. The next prime is 11634670969. The reversal of 11634670960 is 6907643611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11634670969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11669182 + ... + 11670178.

It is an arithmetic number, because the mean of its divisors is an integer number (187948350).

Almost surely, 2^11634670960 is an apocalyptic number.

11634670960 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 11634670960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15035868000).

11634670960 is an abundant number, since it is smaller than the sum of its proper divisors (18437065040).

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

11634670960 is a wasteful number, since it uses less digits than its factorization.

11634670960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 11634670960 in words is "eleven billion, six hundred thirty-four million, six hundred seventy thousand, nine hundred sixty".