13007801537640 has 2688 divisors, whose sum is σ = 58699862645760. Its totient is φ = 2522890727424.

The previous prime is 13007801537581. The next prime is 13007801537701. The reversal of 13007801537640 is 4673510870031.

13007801537640 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 78 + 0 + 1 + 537 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 35443600737 + ... + 35443601103.

It is an arithmetic number, because the mean of its divisors is an integer number (21837746520).

Almost surely, 2^{13007801537640} is an apocalyptic number.

13007801537640 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 13007801537640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29349931322880).

13007801537640 is an abundant number, since it is smaller than the sum of its proper divisors (45692061108120).

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

13007801537640 is a wasteful number, since it uses less digits than its factorization.

13007801537640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13007801537640 in words is "thirteen trillion, seven billion, eight hundred one million, five hundred thirty-seven thousand, six hundred forty".