13799669760 has 480 divisors, whose sum is σ = 52091665920. Its totient is φ = 3454009344.

The previous prime is 13799669753. The next prime is 13799669761. The reversal of 13799669760 is 6796699731.

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

It is not an unprimeable number, because it can be changed into a prime (13799669761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37601097 + ... + 37601463.

It is an arithmetic number, because the mean of its divisors is an integer number (108524304).

Almost surely, 2^13799669760 is an apocalyptic number.

13799669760 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 13799669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26045832960).

13799669760 is an abundant number, since it is smaller than the sum of its proper divisors (38291996160).

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

13799669760 is an equidigital number, since it uses as much as digits as its factorization.

13799669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 13799669760 in words is "thirteen billion, seven hundred ninety-nine million, six hundred sixty-nine thousand, seven hundred sixty".