30966380676 has 240 divisors, whose sum is σ = 101314426752. Its totient is φ = 8012390400.

The previous prime is 30966380639. The next prime is 30966380693. The reversal of 30966380676 is 67608366903.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6908356 + ... + 6912836.

Almost surely, 2^30966380676 is an apocalyptic number.

30966380676 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 30966380676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50657213376).

30966380676 is an abundant number, since it is smaller than the sum of its proper divisors (70348046076).

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

30966380676 is a wasteful number, since it uses less digits than its factorization.

30966380676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 30966380676 in words is "thirty billion, nine hundred sixty-six million, three hundred eighty thousand, six hundred seventy-six".