30840564768 has 96 divisors (see below), whose sum is σ = 89996401152. Its totient is φ = 9183283200.

The previous prime is 30840564757. The next prime is 30840564869. The reversal of 30840564768 is 86746504803.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×30840564768² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30840564768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359893 + ... + 437268.

It is an arithmetic number, because the mean of its divisors is an integer number (937462512).

Almost surely, 2^30840564768 is an apocalyptic number.

It is an amenable number.

30840564768 is an abundant number, since it is smaller than the sum of its proper divisors (59155836384).

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

30840564768 is a wasteful number, since it uses less digits than its factorization.

30840564768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797218 (or 797210 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 30840564768 in words is "thirty billion, eight hundred forty million, five hundred sixty-four thousand, seven hundred sixty-eight".