13629677376960 has 336 divisors, whose sum is σ = 49422329229312. Its totient is φ = 3442498099200.

The previous prime is 13629677376923. The next prime is 13629677376961. The reversal of 13629677376960 is 6967377692631.

13629677376960 is a `hidden beast` number, since 13 + 6 + 2 + 96 + 77 + 376 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13629677376961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2572095 + ... + 5820225.

Almost surely, 2^{13629677376960} is an apocalyptic number.

13629677376960 is a gapful number since it is divisible by the number (10) 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 13629677376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24711164614656).

13629677376960 is an abundant number, since it is smaller than the sum of its proper divisors (35792651852352).

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

13629677376960 is a wasteful number, since it uses less digits than its factorization.

13629677376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248232 (or 3248219 counting only the distinct ones).

The product of its (nonzero) digits is 648121824, while the sum is 72.

The spelling of 13629677376960 in words is "thirteen trillion, six hundred twenty-nine billion, six hundred seventy-seven million, three hundred seventy-six thousand, nine hundred sixty".