30547680768 has 640 divisors, whose sum is σ = 105868224000. Its totient is φ = 8599633920.

The previous prime is 30547680733. The next prime is 30547680797. The reversal of 30547680768 is 86708674503.

30547680768 is a `hidden beast` number, since 30 + 5 + 476 + 80 + 7 + 68 = 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 63 ways as a sum of consecutive naturals, for example, 280253898 + ... + 280254006.

It is an arithmetic number, because the mean of its divisors is an integer number (165419100).

Almost surely, 2^30547680768 is an apocalyptic number.

30547680768 is a gapful number since it is divisible by the number (38) 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 30547680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52934112000).

30547680768 is an abundant number, since it is smaller than the sum of its proper divisors (75320543232).

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

30547680768 is a wasteful number, since it uses less digits than its factorization.

30547680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 30547680768 in words is "thirty billion, five hundred forty-seven million, six hundred eighty thousand, seven hundred sixty-eight".