30671664660 has 864 divisors, whose sum is σ = 126874339200. Its totient is φ = 6130785024.

The previous prime is 30671664599. The next prime is 30671664677. The reversal of 30671664660 is 6646617603.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1614298131 + ... + 1614298149.

It is an arithmetic number, because the mean of its divisors is an integer number (146845300).

Almost surely, 2^30671664660 is an apocalyptic number.

30671664660 is a gapful number since it is divisible by the number (30) 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 30671664660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63437169600).

30671664660 is an abundant number, since it is smaller than the sum of its proper divisors (96202674540).

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

30671664660 is a wasteful number, since it uses less digits than its factorization.

30671664660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 30671664660 in words is "thirty billion, six hundred seventy-one million, six hundred sixty-four thousand, six hundred sixty".