13373767680 has 768 divisors, whose sum is σ = 55263306240. Its totient is φ = 2699034624.

The previous prime is 13373767663. The next prime is 13373767741. The reversal of 13373767680 is 8676737331.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×13373767680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581468149 + ... + 581468171.

It is an arithmetic number, because the mean of its divisors is an integer number (71957430).

Almost surely, 2^13373767680 is an apocalyptic number.

13373767680 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 13373767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27631653120).

13373767680 is an abundant number, since it is smaller than the sum of its proper divisors (41889538560).

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

13373767680 is an equidigital number, since it uses as much as digits as its factorization.

13373767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 51.

The spelling of 13373767680 in words is "thirteen billion, three hundred seventy-three million, seven hundred sixty-seven thousand, six hundred eighty".