13564399680 has 756 divisors, whose sum is σ = 54003252420. Its totient is φ = 3119800320.

The previous prime is 13564399613. The next prime is 13564399769. The reversal of 13564399680 is 8699346531.

13564399680 is a `hidden beast` number, since 13 + 564 + 3 + 9 + 9 + 68 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2559550464 + 11004849216 = 50592^2 + 104904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 437561265 + ... + 437561295.

Almost surely, 2^13564399680 is an apocalyptic number.

13564399680 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 13564399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27001626210).

13564399680 is an abundant number, since it is smaller than the sum of its proper divisors (40438852740).

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

13564399680 is a wasteful number, since it uses less digits than its factorization.

13564399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 13564399680 in words is "thirteen billion, five hundred sixty-four million, three hundred ninety-nine thousand, six hundred eighty".