30966977808 has 400 divisors, whose sum is σ = 100463903232. Its totient is φ = 9144576000.

The previous prime is 30966977801. The next prime is 30966977837. The reversal of 30966977808 is 80877966903.

It is a happy number.

It is a super-2 number, since 2×30966977808² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30966977801) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110202628 + ... + 110202908.

Almost surely, 2^30966977808 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 30966977808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50231951616).

30966977808 is an abundant number, since it is smaller than the sum of its proper divisors (69496925424).

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

30966977808 is a wasteful number, since it uses less digits than its factorization.

30966977808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 30966977808 in words is "thirty billion, nine hundred sixty-six million, nine hundred seventy-seven thousand, eight hundred eight".