13720723467264 has 220 divisors, whose sum is σ = 44697562334568. Its totient is φ = 4157794713600.

The previous prime is 13720723467263. The next prime is 13720723467281. The reversal of 13720723467264 is 46276432702731.

13720723467264 is a `hidden beast` number, since 1 + 37 + 2 + 0 + 7 + 2 + 346 + 7 + 264 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13720723467264.

It is not an unprimeable number, because it can be changed into a prime (13720723467263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6606777 + ... + 8431544.

Almost surely, 2^{13720723467264} is an apocalyptic number.

It is an amenable number.

13720723467264 is an abundant number, since it is smaller than the sum of its proper divisors (30976838867304).

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

13720723467264 is a wasteful number, since it uses less digits than its factorization.

13720723467264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15038364 (or 15038337 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 13720723467264 in words is "thirteen trillion, seven hundred twenty billion, seven hundred twenty-three million, four hundred sixty-seven thousand, two hundred sixty-four".