30768606000 has 960 divisors, whose sum is σ = 128740510080. Its totient is φ = 6994944000.

The previous prime is 30768605981. The next prime is 30768606007. The reversal of 30768606000 is 60686703.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30768606007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111077862 + ... + 111078138.

It is an arithmetic number, because the mean of its divisors is an integer number (134104698).

Almost surely, 2^30768606000 is an apocalyptic number.

30768606000 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 30768606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64370255040).

30768606000 is an abundant number, since it is smaller than the sum of its proper divisors (97971904080).

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

30768606000 is a wasteful number, since it uses less digits than its factorization.

30768606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 30768606000 in words is "thirty billion, seven hundred sixty-eight million, six hundred six thousand".