13640595696 has 900 divisors, whose sum is σ = 52586259264. Its totient is φ = 3396556800.

The previous prime is 13640595673. The next prime is 13640595707. The reversal of 13640595696 is 69659504631.

13640595696 is a `hidden beast` number, since 1 + 3 + 6 + 40 + 595 + 6 + 9 + 6 = 666.

13640595696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 332697436 + ... + 332697476.

Almost surely, 2^13640595696 is an apocalyptic number.

13640595696 is a gapful number since it is divisible by the number (16) 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 13640595696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26293129632).

13640595696 is an abundant number, since it is smaller than the sum of its proper divisors (38945663568).

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

13640595696 is a wasteful number, since it uses less digits than its factorization.

13640595696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 13640595696 in words is "thirteen billion, six hundred forty million, five hundred ninety-five thousand, six hundred ninety-six".