13964670720 has 1296 divisors, whose sum is σ = 66412356192. Its totient is φ = 2663055360.

The previous prime is 13964670703. The next prime is 13964670739. The reversal of 13964670720 is 2707646931.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80720554 + ... + 80720726.

It is an arithmetic number, because the mean of its divisors is an integer number (51244102).

Almost surely, 2^13964670720 is an apocalyptic number.

13964670720 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 13964670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33206178096).

13964670720 is an abundant number, since it is smaller than the sum of its proper divisors (52447685472).

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

13964670720 is a wasteful number, since it uses less digits than its factorization.

13964670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 13964670720 in words is "thirteen billion, nine hundred sixty-four million, six hundred seventy thousand, seven hundred twenty".