13378676770368 has 504 divisors, whose sum is σ = 47480399149248. Its totient is φ = 3526652473344.

The previous prime is 13378676770357. The next prime is 13378676770471. The reversal of 13378676770368 is 86307767687331.

13378676770368 is a `hidden beast` number, since 13 + 3 + 78 + 67 + 67 + 70 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13378676770296 and 13378676770305.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1844567830 + ... + 1844575082.

Almost surely, 2^{13378676770368} is an apocalyptic number.

13378676770368 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 13378676770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23740199574624).

13378676770368 is an abundant number, since it is smaller than the sum of its proper divisors (34101722378880).

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

13378676770368 is a wasteful number, since it uses less digits than its factorization.

13378676770368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 896168448, while the sum is 72.

The spelling of 13378676770368 in words is "thirteen trillion, three hundred seventy-eight billion, six hundred seventy-six million, seven hundred seventy thousand, three hundred sixty-eight".