30840864660 has 144 divisors (see below), whose sum is σ = 94643640000. Its totient is φ = 8128507392.

The previous prime is 30840864647. The next prime is 30840864701. The reversal of 30840864660 is 6646804803.

30840864660 is a `hidden beast` number, since 30 + 84 + 0 + 86 + 466 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 9609136 + ... + 9612344.

It is an arithmetic number, because the mean of its divisors is an integer number (657247500).

Almost surely, 2^30840864660 is an apocalyptic number.

30840864660 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 30840864660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47321820000).

30840864660 is an abundant number, since it is smaller than the sum of its proper divisors (63802775340).

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

30840864660 is a wasteful number, since it uses less digits than its factorization.

30840864660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 30840864660 in words is "thirty billion, eight hundred forty million, eight hundred sixty-four thousand, six hundred sixty".