13076753664 has 144 divisors (see below), whose sum is σ = 37549915200. Its totient is φ = 4016160768.

The previous prime is 13076753639. The next prime is 13076753699. The reversal of 13076753664 is 46635767031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8076247 + ... + 8077865.

It is an arithmetic number, because the mean of its divisors is an integer number (260763300).

Almost surely, 2^13076753664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13076753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18774957600).

13076753664 is an abundant number, since it is smaller than the sum of its proper divisors (24473161536).

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

13076753664 is a wasteful number, since it uses less digits than its factorization.

13076753664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 13076753664 in words is "thirteen billion, seventy-six million, seven hundred fifty-three thousand, six hundred sixty-four".