68136380969040 has 1280 divisors, whose sum is σ = 266217532416000. Its totient is φ = 15933509222400.

The previous prime is 68136380969039. The next prime is 68136380969077. The reversal of 68136380969040 is 4096908363186.

68136380969040 is a `hidden beast` number, since 6 + 81 + 3 + 6 + 380 + 96 + 90 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4424145340 + ... + 4424160740.

It is an arithmetic number, because the mean of its divisors is an integer number (207982447200).

Almost surely, 2^{68136380969040} is an apocalyptic number.

68136380969040 is a gapful number since it is divisible by the number (60) 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 68136380969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133108766208000).

68136380969040 is an abundant number, since it is smaller than the sum of its proper divisors (198081151446960).

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

68136380969040 is a wasteful number, since it uses less digits than its factorization.

68136380969040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15617 (or 15605 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 68136380969040 in words is "sixty-eight trillion, one hundred thirty-six billion, three hundred eighty million, nine hundred sixty-nine thousand, forty".