13068375840 has 192 divisors, whose sum is σ = 49257936000. Its totient is φ = 3216817152.

The previous prime is 13068375833. The next prime is 13068375851. The reversal of 13068375840 is 4857386031.

13068375840 is a `hidden beast` number, since 1 + 3 + 0 + 68 + 3 + 7 + 584 + 0 = 666.

13068375840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 60190 + ... + 172509.

It is an arithmetic number, because the mean of its divisors is an integer number (256551750).

Almost surely, 2^13068375840 is an apocalyptic number.

13068375840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13068375840 is an abundant number, since it is smaller than the sum of its proper divisors (36189560160).

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

13068375840 is a wasteful number, since it uses less digits than its factorization.

13068375840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232736 (or 232722 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13068375840 in words is "thirteen billion, sixty-eight million, three hundred seventy-five thousand, eight hundred forty".