13378564368 has 320 divisors, whose sum is σ = 42872256000. Its totient is φ = 3968040960.

The previous prime is 13378564349. The next prime is 13378564453. The reversal of 13378564368 is 86346587331.

13378564368 is a `hidden beast` number, since 1 + 3 + 3 + 78 + 564 + 3 + 6 + 8 = 666.

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

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, 22334533 + ... + 22335131.

It is an arithmetic number, because the mean of its divisors is an integer number (133975800).

Almost surely, 2^13378564368 is an apocalyptic number.

13378564368 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 13378564368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21436128000).

13378564368 is an abundant number, since it is smaller than the sum of its proper divisors (29493691632).

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

13378564368 is a wasteful number, since it uses less digits than its factorization.

13378564368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 755 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 13378564368 in words is "thirteen billion, three hundred seventy-eight million, five hundred sixty-four thousand, three hundred sixty-eight".