13337887680 has 560 divisors, whose sum is σ = 53347339584. Its totient is φ = 3138600960.

The previous prime is 13337887627. The next prime is 13337887721. The reversal of 13337887680 is 8678873331.

13337887680 is a `hidden beast` number, since 133 + 378 + 87 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7749220 + ... + 7750940.

Almost surely, 2^13337887680 is an apocalyptic number.

13337887680 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 13337887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26673669792).

13337887680 is an abundant number, since it is smaller than the sum of its proper divisors (40009451904).

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

13337887680 is a wasteful number, since it uses less digits than its factorization.

13337887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 13337887680 in words is "thirteen billion, three hundred thirty-seven million, eight hundred eighty-seven thousand, six hundred eighty".