13274810640 has 720 divisors, whose sum is σ = 57508319232. Its totient is φ = 2672068608.

The previous prime is 13274810623. The next prime is 13274810651. The reversal of 13274810640 is 4601847231.

13274810640 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 4 + 8 + 1 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13274810595 and 13274810604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34659889 + ... + 34660271.

Almost surely, 2^13274810640 is an apocalyptic number.

13274810640 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 13274810640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28754159616).

13274810640 is an abundant number, since it is smaller than the sum of its proper divisors (44233508592).

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

13274810640 is a wasteful number, since it uses less digits than its factorization.

13274810640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13274810640 in words is "thirteen billion, two hundred seventy-four million, eight hundred ten thousand, six hundred forty".