30945393472320 has 672 divisors, whose sum is σ = 110962000356480. Its totient is φ = 8208828334080.

The previous prime is 30945393472237. The next prime is 30945393472391. The reversal of 30945393472320 is 2327439354903.

30945393472320 is a `hidden beast` number, since 3 + 0 + 9 + 4 + 53 + 93 + 472 + 32 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14645239584 + ... + 14645241696.

It is an arithmetic number, because the mean of its divisors is an integer number (165122024340).

Almost surely, 2^{30945393472320} is an apocalyptic number.

30945393472320 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 30945393472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55481000178240).

30945393472320 is an abundant number, since it is smaller than the sum of its proper divisors (80016606884160).

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

30945393472320 is a wasteful number, since it uses less digits than its factorization.

30945393472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 30945393472320 in words is "thirty trillion, nine hundred forty-five billion, three hundred ninety-three million, four hundred seventy-two thousand, three hundred twenty".