30348593664 has 320 divisors, whose sum is σ = 88670039040. Its totient is φ = 9186508800.

The previous prime is 30348593617. The next prime is 30348593689. The reversal of 30348593664 is 46639584303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169545127 + ... + 169545305.

It is an arithmetic number, because the mean of its divisors is an integer number (277093872).

Almost surely, 2^30348593664 is an apocalyptic number.

30348593664 is a gapful number since it is divisible by the number (34) 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 30348593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44335019520).

30348593664 is an abundant number, since it is smaller than the sum of its proper divisors (58321445376).

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

30348593664 is a wasteful number, since it uses less digits than its factorization.

30348593664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 30348593664 in words is "thirty billion, three hundred forty-eight million, five hundred ninety-three thousand, six hundred sixty-four".