13674790880 has 96 divisors (see below), whose sum is σ = 32845176000. Its totient is φ = 5379489792.

The previous prime is 13674790847. The next prime is 13674790907. The reversal of 13674790880 is 8809747631.

It is a super-2 number, since 2×13674790880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2452736 + ... + 2458304.

It is an arithmetic number, because the mean of its divisors is an integer number (342137250).

Almost surely, 2^13674790880 is an apocalyptic number.

13674790880 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 13674790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422588000).

13674790880 is an abundant number, since it is smaller than the sum of its proper divisors (19170385120).

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

13674790880 is a wasteful number, since it uses less digits than its factorization.

13674790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 53.

The spelling of 13674790880 in words is "thirteen billion, six hundred seventy-four million, seven hundred ninety thousand, eight hundred eighty".