13734680960 has 384 divisors, whose sum is σ = 44442216000. Its totient is φ = 3949608960.

The previous prime is 13734680933. The next prime is 13734680969. The reversal of 13734680960 is 6908643731.

It is a happy number.

It is a super-2 number, since 2×13734680960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13734680969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7046066 + ... + 7048014.

Almost surely, 2^13734680960 is an apocalyptic number.

13734680960 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 13734680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22221108000).

13734680960 is an abundant number, since it is smaller than the sum of its proper divisors (30707535040).

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

13734680960 is a wasteful number, since it uses less digits than its factorization.

13734680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 13734680960 in words is "thirteen billion, seven hundred thirty-four million, six hundred eighty thousand, nine hundred sixty".