68086240992 has 576 divisors, whose sum is σ = 255446231040. Its totient is φ = 16665523200.

The previous prime is 68086240969. The next prime is 68086240993. The reversal of 68086240992 is 29904268086.

It is a happy number.

68086240992 is a `hidden beast` number, since 6 + 8 + 0 + 8 + 624 + 0 + 9 + 9 + 2 = 666.

68086240992 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-2 number, since 2×68086240992² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68086240993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119240067 + ... + 119240637.

It is an arithmetic number, because the mean of its divisors is an integer number (443483040).

Almost surely, 2^68086240992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68086240992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127723115520).

68086240992 is an abundant number, since it is smaller than the sum of its proper divisors (187359990048).

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

68086240992 is a wasteful number, since it uses less digits than its factorization.

68086240992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 68086240992 in words is "sixty-eight billion, eighty-six million, two hundred forty thousand, nine hundred ninety-two".