13333675680 has 480 divisors, whose sum is σ = 52443190800. Its totient is φ = 3167797248.

The previous prime is 13333675673. The next prime is 13333675697. The reversal of 13333675680 is 8657633331.

It can be written as a sum of positive squares in 8 ways, for example, as 7236564624 + 6097111056 = 85068^2 + 78084^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4884556 + ... + 4887284.

Almost surely, 2^13333675680 is an apocalyptic number.

13333675680 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 13333675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26221595400).

13333675680 is an abundant number, since it is smaller than the sum of its proper divisors (39109515120).

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

13333675680 is a wasteful number, since it uses less digits than its factorization.

13333675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 13333675680 in words is "thirteen billion, three hundred thirty-three million, six hundred seventy-five thousand, six hundred eighty".