30597848064 has 704 divisors, whose sum is σ = 111776025600. Its totient is φ = 8074100736.

The previous prime is 30597848051. The next prime is 30597848069. The reversal of 30597848064 is 46084879503.

30597848064 is a `hidden beast` number, since 3 + 0 + 597 + 8 + 48 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×30597848064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 30597848064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30597848069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194890674 + ... + 194890830.

Almost surely, 2^30597848064 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 30597848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55888012800).

30597848064 is an abundant number, since it is smaller than the sum of its proper divisors (81178177536).

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

30597848064 is a wasteful number, since it uses less digits than its factorization.

30597848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 30597848064 in words is "thirty billion, five hundred ninety-seven million, eight hundred forty-eight thousand, sixty-four".