13021739640 has 192 divisors, whose sum is σ = 52087089600. Its totient is φ = 2747437056.

The previous prime is 13021739551. The next prime is 13021739651. The reversal of 13021739640 is 4693712031.

13021739640 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 1 + 7 + 3 + 9 + 640 = 666.

13021739640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13021739640³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13021739595 and 13021739604.

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 47 ways as a sum of consecutive naturals, for example, 165985 + ... + 231504.

It is an arithmetic number, because the mean of its divisors is an integer number (271286925).

Almost surely, 2^13021739640 is an apocalyptic number.

13021739640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021739640 is an abundant number, since it is smaller than the sum of its proper divisors (39065349960).

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

13021739640 is a wasteful number, since it uses less digits than its factorization.

13021739640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397526 (or 397519 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13021739640 in words is "thirteen billion, twenty-one million, seven hundred thirty-nine thousand, six hundred forty".