13968064320 has 448 divisors, whose sum is σ = 55088332800. Its totient is φ = 2926264320.

The previous prime is 13968064307. The next prime is 13968064337. The reversal of 13968064320 is 2346086931.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3956316 + ... + 3959844.

Almost surely, 2^13968064320 is an apocalyptic number.

13968064320 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 13968064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27544166400).

13968064320 is an abundant number, since it is smaller than the sum of its proper divisors (41120268480).

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

13968064320 is a wasteful number, since it uses less digits than its factorization.

13968064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 13968064320 in words is "thirteen billion, nine hundred sixty-eight million, sixty-four thousand, three hundred twenty".