13640836940 has 96 divisors (see below), whose sum is σ = 29934515520. Its totient is φ = 5217177600.

The previous prime is 13640836933. The next prime is 13640836997. The reversal of 13640836940 is 4963804631.

13640836940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13640836891 and 13640836900.

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 31 ways as a sum of consecutive naturals, for example, 10834031 + ... + 10835289.

It is an arithmetic number, because the mean of its divisors is an integer number (311817870).

Almost surely, 2^13640836940 is an apocalyptic number.

13640836940 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 13640836940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967257760).

13640836940 is an abundant number, since it is smaller than the sum of its proper divisors (16293678580).

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

13640836940 is a wasteful number, since it uses less digits than its factorization.

13640836940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 13640836940 in words is "thirteen billion, six hundred forty million, eight hundred thirty-six thousand, nine hundred forty".