13642107840 has 84 divisors (see below), whose sum is σ = 46923176664. Its totient is φ = 3637894656.

The previous prime is 13642107821. The next prime is 13642107841. The reversal of 13642107840 is 4870124631.

13642107840 is a `hidden beast` number, since 1 + 3 + 642 + 1 + 0 + 7 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×13642107840² (a number of 21 digits) contains 22 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 = 13642107795 and 13642107804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642107841) by changing a digit.

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, 2365542 + ... + 2371301.

It is an arithmetic number, because the mean of its divisors is an integer number (558609246).

Almost surely, 2^13642107840 is an apocalyptic number.

13642107840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13642107840 is an abundant number, since it is smaller than the sum of its proper divisors (33281068824).

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

13642107840 is a wasteful number, since it uses less digits than its factorization.

13642107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736866 (or 4736853 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13642107840 in words is "thirteen billion, six hundred forty-two million, one hundred seven thousand, eight hundred forty".