13333493760 has 384 divisors, whose sum is σ = 45174205440. Its totient is φ = 3350724608.

The previous prime is 13333493759. The next prime is 13333493773. The reversal of 13333493760 is 6739433331.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79841197 + ... + 79841363.

It is an arithmetic number, because the mean of its divisors is an integer number (117641160).

Almost surely, 2^13333493760 is an apocalyptic number.

13333493760 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 13333493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587102720).

13333493760 is an abundant number, since it is smaller than the sum of its proper divisors (31840711680).

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

13333493760 is a wasteful number, since it uses less digits than its factorization.

13333493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 42.

The spelling of 13333493760 in words is "thirteen billion, three hundred thirty-three million, four hundred ninety-three thousand, seven hundred sixty".