13757000640 has 112 divisors (see below), whose sum is σ = 43840481280. Its totient is φ = 3654927360.

The previous prime is 13757000633. The next prime is 13757000669. The reversal of 13757000640 is 4600075731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233721 + ... + 286599.

Almost surely, 2^13757000640 is an apocalyptic number.

13757000640 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 13757000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21920240640).

13757000640 is an abundant number, since it is smaller than the sum of its proper divisors (30083480640).

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

13757000640 is a wasteful number, since it uses less digits than its factorization.

13757000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53170 (or 53160 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 13757000640 in words is "thirteen billion, seven hundred fifty-seven million, six hundred forty", and thus it is an aban number.