30759664068 has 288 divisors, whose sum is σ = 98741680128. Its totient is φ = 7871385600.

The previous prime is 30759664063. The next prime is 30759664073. The reversal of 30759664068 is 86046695703.

30759664068 is a `hidden beast` number, since 3 + 0 + 7 + 596 + 6 + 40 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (30759664063) and next prime (30759664073).

It is not an unprimeable number, because it can be changed into a prime (30759664063) 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, 8099146 + ... + 8102942.

It is an arithmetic number, because the mean of its divisors is an integer number (342853056).

Almost surely, 2^30759664068 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 30759664068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49370840064).

30759664068 is an abundant number, since it is smaller than the sum of its proper divisors (67982016060).

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

30759664068 is a wasteful number, since it uses less digits than its factorization.

30759664068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 30759664068 in words is "thirty billion, seven hundred fifty-nine million, six hundred sixty-four thousand, sixty-eight".