30422568960 has 1248 divisors, whose sum is σ = 136161941760. Its totient is φ = 6115295232.

The previous prime is 30422568959. The next prime is 30422568961. The reversal of 30422568960 is 6986522403.

30422568960 is a `hidden beast` number, since 3 + 0 + 4 + 22 + 568 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (30422568959) and next prime (30422568961).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30422568961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 416747484 + ... + 416747556.

It is an arithmetic number, because the mean of its divisors is an integer number (109104120).

Almost surely, 2^30422568960 is an apocalyptic number.

30422568960 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 30422568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68080970880).

30422568960 is an abundant number, since it is smaller than the sum of its proper divisors (105739372800).

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

30422568960 is a wasteful number, since it uses less digits than its factorization.

30422568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 30422568960 in words is "thirty billion, four hundred twenty-two million, five hundred sixty-eight thousand, nine hundred sixty".