13376772864 has 864 divisors, whose sum is σ = 52497768960. Its totient is φ = 3296526336.

The previous prime is 13376772859. The next prime is 13376772869. The reversal of 13376772864 is 46827767331.

It is an interprime number because it is at equal distance from previous prime (13376772859) and next prime (13376772869).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13376772864.

It is not an unprimeable number, because it can be changed into a prime (13376772869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96235707 + ... + 96235845.

Almost surely, 2^13376772864 is an apocalyptic number.

13376772864 is a gapful number since it is divisible by the number (14) 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 13376772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248884480).

13376772864 is an abundant number, since it is smaller than the sum of its proper divisors (39120996096).

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

13376772864 is a wasteful number, since it uses less digits than its factorization.

13376772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 13376772864 in words is "thirteen billion, three hundred seventy-six million, seven hundred seventy-two thousand, eight hundred sixty-four".