13634640072 has 48 divisors (see below), whose sum is σ = 37001250000. Its totient is φ = 4535760096.

The previous prime is 13634640049. The next prime is 13634640083. The reversal of 13634640072 is 27004643631.

It is a happy number.

13634640072 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 4 + 640 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153822 + ... + 225677.

It is an arithmetic number, because the mean of its divisors is an integer number (770859375).

Almost surely, 2^13634640072 is an apocalyptic number.

13634640072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13634640072 is an abundant number, since it is smaller than the sum of its proper divisors (23366609928).

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

13634640072 is a wasteful number, since it uses less digits than its factorization.

13634640072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380010 (or 380003 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13634640072 in words is "thirteen billion, six hundred thirty-four million, six hundred forty thousand, seventy-two".