13008464640 has 216 divisors, whose sum is σ = 45127227600. Its totient is φ = 3459735552.

The previous prime is 13008464629. The next prime is 13008464653. The reversal of 13008464640 is 4646480031.

13008464640 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 8 + 4 + 6 + 4 + 640 = 666.

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 = 13008464595 and 13008464604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5102086 + ... + 5104634.

It is an arithmetic number, because the mean of its divisors is an integer number (208922350).

Almost surely, 2^13008464640 is an apocalyptic number.

13008464640 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 13008464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22563613800).

13008464640 is an abundant number, since it is smaller than the sum of its proper divisors (32118762960).

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

13008464640 is a wasteful number, since it uses less digits than its factorization.

13008464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13008464640 in words is "thirteen billion, eight million, four hundred sixty-four thousand, six hundred forty".