13627959240 has 256 divisors, whose sum is σ = 48103372800. Its totient is φ = 3024359424.

The previous prime is 13627959223. The next prime is 13627959253. The reversal of 13627959240 is 4295972631.

It is a self number, because there is not a number n which added to its sum of digits gives 13627959240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4111824 + ... + 4115136.

It is an arithmetic number, because the mean of its divisors is an integer number (187903800).

Almost surely, 2^13627959240 is an apocalyptic number.

13627959240 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 13627959240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24051686400).

13627959240 is an abundant number, since it is smaller than the sum of its proper divisors (34475413560).

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

13627959240 is a wasteful number, since it uses less digits than its factorization.

13627959240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 13627959240 in words is "thirteen billion, six hundred twenty-seven million, nine hundred fifty-nine thousand, two hundred forty".