30668557920 has 1536 divisors, whose sum is σ = 140460687360. Its totient is φ = 5419008000.

The previous prime is 30668557901. The next prime is 30668557939. The reversal of 30668557920 is 2975586603.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30668557901) and next prime (30668557939).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 431951485 + ... + 431951555.

It is an arithmetic number, because the mean of its divisors is an integer number (91445760).

Almost surely, 2^30668557920 is an apocalyptic number.

30668557920 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 30668557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70230343680).

30668557920 is an abundant number, since it is smaller than the sum of its proper divisors (109792129440).

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

30668557920 is a wasteful number, since it uses less digits than its factorization.

30668557920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 30668557920 in words is "thirty billion, six hundred sixty-eight million, five hundred fifty-seven thousand, nine hundred twenty".