13960380672 has 432 divisors, whose sum is σ = 49101131520. Its totient is φ = 3899363328.

The previous prime is 13960380667. The next prime is 13960380737. The reversal of 13960380672 is 27608306931.

13960380672 is a `hidden beast` number, since 1 + 39 + 603 + 8 + 0 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15917898 + ... + 15918774.

Almost surely, 2^13960380672 is an apocalyptic number.

13960380672 is a gapful number since it is divisible by the number (12) 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 13960380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24550565760).

13960380672 is an abundant number, since it is smaller than the sum of its proper divisors (35140750848).

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

13960380672 is an equidigital number, since it uses as much as digits as its factorization.

13960380672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13960380672 in words is "thirteen billion, nine hundred sixty million, three hundred eighty thousand, six hundred seventy-two".