30999643960 has 64 divisors (see below), whose sum is σ = 72240854400. Its totient is φ = 11957922816.

The previous prime is 30999643907. The next prime is 30999644057. The reversal of 30999643960 is 6934699903.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 30999643895 and 30999643904.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 978529 + ... + 1009711.

It is an arithmetic number, because the mean of its divisors is an integer number (1128763350).

Almost surely, 2^30999643960 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 30999643960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36120427200).

30999643960 is an abundant number, since it is smaller than the sum of its proper divisors (41241210440).

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

30999643960 is a wasteful number, since it uses less digits than its factorization.

30999643960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32080 (or 32076 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 58.

The spelling of 30999643960 in words is "thirty billion, nine hundred ninety-nine million, six hundred forty-three thousand, nine hundred sixty".