13676967802900 has 72 divisors (see below), whose sum is σ = 29952794148480. Its totient is φ = 5420357859840.

The previous prime is 13676967802843. The next prime is 13676967802907. The reversal of 13676967802900 is 920876967631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13676967802907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30365541 + ... + 30812659.

It is an arithmetic number, because the mean of its divisors is an integer number (416011029840).

Almost surely, 2^{13676967802900} is an apocalyptic number.

13676967802900 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 13676967802900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976397074240).

13676967802900 is an abundant number, since it is smaller than the sum of its proper divisors (16275826345580).

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

13676967802900 is a wasteful number, since it uses less digits than its factorization.

13676967802900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449953 (or 449946 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 64.

The spelling of 13676967802900 in words is "thirteen trillion, six hundred seventy-six billion, nine hundred sixty-seven million, eight hundred two thousand, nine hundred".