13761696960 has 448 divisors, whose sum is σ = 55756454400. Its totient is φ = 3160166400.

The previous prime is 13761696919. The next prime is 13761696983. The reversal of 13761696960 is 6969616731.

13761696960 is a `hidden beast` number, since 13 + 7 + 616 + 9 + 6 + 9 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 13761696897 and 13761696906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1801950 + ... + 1809570.

Almost surely, 2^13761696960 is an apocalyptic number.

13761696960 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 13761696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27878227200).

13761696960 is an abundant number, since it is smaller than the sum of its proper divisors (41994757440).

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

13761696960 is a wasteful number, since it uses less digits than its factorization.

13761696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7677 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 13761696960 in words is "thirteen billion, seven hundred sixty-one million, six hundred ninety-six thousand, nine hundred sixty".