116964656640 has 1920 divisors, whose sum is σ = 517595443200. Its totient is φ = 24843386880.

The previous prime is 116964656639. The next prime is 116964656681. The reversal of 116964656640 is 46656469611.

It is a happy number.

116964656640 is a `hidden beast` number, since 1 + 16 + 9 + 64 + 6 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3773053425 + ... + 3773053455.

It is an arithmetic number, because the mean of its divisors is an integer number (269580960).

Almost surely, 2^116964656640 is an apocalyptic number.

116964656640 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 116964656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258797721600).

116964656640 is an abundant number, since it is smaller than the sum of its proper divisors (400630786560).

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

116964656640 is a wasteful number, since it uses less digits than its factorization.

116964656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 116964656640 in words is "one hundred sixteen billion, nine hundred sixty-four million, six hundred fifty-six thousand, six hundred forty".