13402836346680 has 768 divisors, whose sum is σ = 51720601645440. Its totient is φ = 2973096345600.

The previous prime is 13402836346637. The next prime is 13402836346693. The reversal of 13402836346680 is 8664363820431.

13402836346680 is a `hidden beast` number, since 1 + 3 + 40 + 2 + 8 + 3 + 63 + 466 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 808706874 + ... + 808723446.

Almost surely, 2^{13402836346680} is an apocalyptic number.

13402836346680 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 13402836346680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25860300822720).

13402836346680 is an abundant number, since it is smaller than the sum of its proper divisors (38317765298760).

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

13402836346680 is a wasteful number, since it uses less digits than its factorization.

13402836346680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16952 (or 16945 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 13402836346680 in words is "thirteen trillion, four hundred two billion, eight hundred thirty-six million, three hundred forty-six thousand, six hundred eighty".