11964313680 has 320 divisors, whose sum is σ = 43047244800. Its totient is φ = 2718351360.

The previous prime is 11964313637. The next prime is 11964313687. The reversal of 11964313680 is 8631346911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11964313687) 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, 4864291 + ... + 4866749.

It is an arithmetic number, because the mean of its divisors is an integer number (134522640).

Almost surely, 2^11964313680 is an apocalyptic number.

11964313680 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 11964313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21523622400).

11964313680 is an abundant number, since it is smaller than the sum of its proper divisors (31082931120).

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

11964313680 is a wasteful number, since it uses less digits than its factorization.

11964313680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 11964313680 in words is "eleven billion, nine hundred sixty-four million, three hundred thirteen thousand, six hundred eighty".