30107607768 has 128 divisors (see below), whose sum is σ = 95622912000. Its totient is φ = 8598286080.

The previous prime is 30107607757. The next prime is 30107607769. The reversal of 30107607768 is 86770670103.

It is a happy number.

30107607768 is a `hidden beast` number, since 30 + 1 + 0 + 7 + 607 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30107607769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5922988 + ... + 5928068.

It is an arithmetic number, because the mean of its divisors is an integer number (747054000).

Almost surely, 2^30107607768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30107607768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47811456000).

30107607768 is an abundant number, since it is smaller than the sum of its proper divisors (65515304232).

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

30107607768 is a wasteful number, since it uses less digits than its factorization.

30107607768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9022 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 30107607768 in words is "thirty billion, one hundred seven million, six hundred seven thousand, seven hundred sixty-eight".