30968836668 has 288 divisors, whose sum is σ = 103010019840. Its totient is φ = 7600158720.

The previous prime is 30968836627. The next prime is 30968836727. The reversal of 30968836668 is 86663886903.

It is a super-2 number, since 2×30968836668² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32495680 + ... + 32496632.

It is an arithmetic number, because the mean of its divisors is an integer number (357673680).

Almost surely, 2^30968836668 is an apocalyptic number.

30968836668 is a gapful number since it is divisible by the number (38) 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 30968836668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51505009920).

30968836668 is an abundant number, since it is smaller than the sum of its proper divisors (72041183172).

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

30968836668 is a wasteful number, since it uses less digits than its factorization.

30968836668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 30968836668 in words is "thirty billion, nine hundred sixty-eight million, eight hundred thirty-six thousand, six hundred sixty-eight".