31768068096 has 720 divisors, whose sum is σ = 110411683200. Its totient is φ = 8719958016.

The previous prime is 31768068091. The next prime is 31768068097. The reversal of 31768068096 is 69086086713.

It is a happy number.

It is a super-3 number, since 3×31768068096³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (31768068091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095450610 + ... + 1095450638.

It is an arithmetic number, because the mean of its divisors is an integer number (153349560).

Almost surely, 2^31768068096 is an apocalyptic number.

31768068096 is a gapful number since it is divisible by the number (36) 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 31768068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55205841600).

31768068096 is an abundant number, since it is smaller than the sum of its proper divisors (78643615104).

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

31768068096 is a wasteful number, since it uses less digits than its factorization.

31768068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 31768068096 in words is "thirty-one billion, seven hundred sixty-eight million, sixty-eight thousand, ninety-six".