13764910080 has 176 divisors, whose sum is σ = 44259415200. Its totient is φ = 3651207168.

The previous prime is 13764910021. The next prime is 13764910109. The reversal of 13764910080 is 8001946731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3023646 + ... + 3028194.

It is an arithmetic number, because the mean of its divisors is an integer number (251473950).

Almost surely, 2^13764910080 is an apocalyptic number.

13764910080 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 13764910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22129707600).

13764910080 is an abundant number, since it is smaller than the sum of its proper divisors (30494505120).

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

13764910080 is a wasteful number, since it uses less digits than its factorization.

13764910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 13764910080 in words is "thirteen billion, seven hundred sixty-four million, nine hundred ten thousand, eighty".