30820946688 has 864 divisors, whose sum is σ = 115510691520. Its totient is φ = 8051097600.

The previous prime is 30820946647. The next prime is 30820946701. The reversal of 30820946688 is 88664902803.

It is a tau number, because it is divible by the number of its divisors (864).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305157838 + ... + 305157938.

It is an arithmetic number, because the mean of its divisors is an integer number (133692930).

Almost surely, 2^30820946688 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 30820946688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57755345760).

30820946688 is an abundant number, since it is smaller than the sum of its proper divisors (84689744832).

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

30820946688 is a wasteful number, since it uses less digits than its factorization.

30820946688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 30820946688 in words is "thirty billion, eight hundred twenty million, nine hundred forty-six thousand, six hundred eighty-eight".