13724780323968 has 384 divisors, whose sum is σ = 47155502822400. Its totient is φ = 3918459525120.

The previous prime is 13724780323913. The next prime is 13724780323987. The reversal of 13724780323968 is 86932308742731.

13724780323968 is a `hidden beast` number, since 1 + 3 + 7 + 247 + 8 + 0 + 323 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 233834721 + ... + 233893407.

It is an arithmetic number, because the mean of its divisors is an integer number (122800788600).

Almost surely, 2^{13724780323968} is an apocalyptic number.

13724780323968 is a gapful number since it is divisible by the number (18) 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 13724780323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23577751411200).

13724780323968 is an abundant number, since it is smaller than the sum of its proper divisors (33430722498432).

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

13724780323968 is a wasteful number, since it uses less digits than its factorization.

13724780323968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60105 (or 60080 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 13724780323968 in words is "thirteen trillion, seven hundred twenty-four billion, seven hundred eighty million, three hundred twenty-three thousand, nine hundred sixty-eight".