13749415680 has 1152 divisors, whose sum is σ = 60986419200. Its totient is φ = 2601123840.

The previous prime is 13749415657. The next prime is 13749415717. The reversal of 13749415680 is 8651494731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188348124 + ... + 188348196.

It is an arithmetic number, because the mean of its divisors is an integer number (52939600).

Almost surely, 2^13749415680 is an apocalyptic number.

13749415680 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 13749415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30493209600).

13749415680 is an abundant number, since it is smaller than the sum of its proper divisors (47237003520).

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

13749415680 is a wasteful number, since it uses less digits than its factorization.

13749415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 13749415680 in words is "thirteen billion, seven hundred forty-nine million, four hundred fifteen thousand, six hundred eighty".