30068599680 has 1280 divisors, whose sum is σ = 131374172160. Its totient is φ = 6409912320.

The previous prime is 30068599609. The next prime is 30068599681. The reversal of 30068599680 is 8699586003.

It is a super-2 number, since 2×30068599680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30068599681) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 639757417 + ... + 639757463.

It is an arithmetic number, because the mean of its divisors is an integer number (102636072).

Almost surely, 2^30068599680 is an apocalyptic number.

30068599680 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 30068599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65687086080).

30068599680 is an abundant number, since it is smaller than the sum of its proper divisors (101305572480).

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

30068599680 is a wasteful number, since it uses less digits than its factorization.

30068599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 30068599680 in words is "thirty billion, sixty-eight million, five hundred ninety-nine thousand, six hundred eighty".