30768468192 has 480 divisors, whose sum is σ = 116480415744. Its totient is φ = 7732454400.

The previous prime is 30768468151. The next prime is 30768468217. The reversal of 30768468192 is 29186486703.

30768468192 is a `hidden beast` number, since 30 + 7 + 68 + 468 + 1 + 92 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6184618 + ... + 6189590.

Almost surely, 2^30768468192 is an apocalyptic number.

30768468192 is a gapful number since it is divisible by the number (32) 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 30768468192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58240207872).

30768468192 is an abundant number, since it is smaller than the sum of its proper divisors (85711947552).

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

30768468192 is a wasteful number, since it uses less digits than its factorization.

30768468192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 30768468192 in words is "thirty billion, seven hundred sixty-eight million, four hundred sixty-eight thousand, one hundred ninety-two".