30568340880 has 480 divisors, whose sum is σ = 132410453760. Its totient is φ = 6132510720.

The previous prime is 30568340867. The next prime is 30568340921. The reversal of 30568340880 is 8804386503.

30568340880 is a `hidden beast` number, since 3 + 0 + 568 + 3 + 4 + 0 + 8 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1598254 + ... + 1617266.

It is an arithmetic number, because the mean of its divisors is an integer number (275855112).

Almost surely, 2^30568340880 is an apocalyptic number.

30568340880 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 30568340880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66205226880).

30568340880 is an abundant number, since it is smaller than the sum of its proper divisors (101842112880).

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

30568340880 is a wasteful number, since it uses less digits than its factorization.

30568340880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19079 (or 19070 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 30568340880 in words is "thirty billion, five hundred sixty-eight million, three hundred forty thousand, eight hundred eighty".