13207640544 has 384 divisors, whose sum is σ = 49075891200. Its totient is φ = 3364208640.

The previous prime is 13207640531. The next prime is 13207640557. The reversal of 13207640544 is 44504670231.

13207640544 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 7 + 640 + 5 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13207640531) and next prime (13207640557).

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 = 13207640499 and 13207640508.

It is a congruent number.

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, 1950124 + ... + 1956884.

It is an arithmetic number, because the mean of its divisors is an integer number (127801800).

Almost surely, 2^13207640544 is an apocalyptic number.

13207640544 is a gapful number since it is divisible by the number (14) 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 13207640544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24537945600).

13207640544 is an abundant number, since it is smaller than the sum of its proper divisors (35868250656).

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

13207640544 is a wasteful number, since it uses less digits than its factorization.

13207640544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 13207640544 in words is "thirteen billion, two hundred seven million, six hundred forty thousand, five hundred forty-four".