13007506640 has 40 divisors (see below), whose sum is σ = 30582272520. Its totient is φ = 5144539136.

The previous prime is 13007506583. The next prime is 13007506739. The reversal of 13007506640 is 4660570031.

It can be written as a sum of positive squares in 4 ways, for example, as 76177984 + 12931328656 = 8728^2 + 113716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13007506597 and 13007506606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 906329 + ... + 920568.

It is an arithmetic number, because the mean of its divisors is an integer number (764556813).

Almost surely, 2^13007506640 is an apocalyptic number.

13007506640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13007506640 is an abundant number, since it is smaller than the sum of its proper divisors (17574765880).

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

13007506640 is a wasteful number, since it uses less digits than its factorization.

13007506640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826999 (or 1826993 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 13007506640 in words is "thirteen billion, seven million, five hundred six thousand, six hundred forty".