13565672640 has 560 divisors, whose sum is σ = 52541862912. Its totient is φ = 3302498304.

The previous prime is 13565672621. The next prime is 13565672647. The reversal of 13565672640 is 4627656531.

13565672640 is a `hidden beast` number, since 1 + 3 + 565 + 67 + 26 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13565672647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42793762 + ... + 42794078.

Almost surely, 2^13565672640 is an apocalyptic number.

13565672640 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 13565672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26270931456).

13565672640 is an abundant number, since it is smaller than the sum of its proper divisors (38976190272).

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

13565672640 is a wasteful number, since it uses less digits than its factorization.

13565672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 13565672640 in words is "thirteen billion, five hundred sixty-five million, six hundred seventy-two thousand, six hundred forty".