13745621760 has 432 divisors, whose sum is σ = 48477139200. Its totient is φ = 3316924416.

The previous prime is 13745621759. The next prime is 13745621761. The reversal of 13745621760 is 6712654731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13745621759) and next prime (13745621761).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13745621761) 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, 38288461 + ... + 38288819.

It is an arithmetic number, because the mean of its divisors is an integer number (112215600).

Almost surely, 2^13745621760 is an apocalyptic number.

13745621760 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 13745621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24238569600).

13745621760 is an abundant number, since it is smaller than the sum of its proper divisors (34731517440).

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

13745621760 is a wasteful number, since it uses less digits than its factorization.

13745621760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 13745621760 in words is "thirteen billion, seven hundred forty-five million, six hundred twenty-one thousand, seven hundred sixty".