30606920960 has 648 divisors, whose sum is σ = 97157186280. Its totient is φ = 9196830720.

The previous prime is 30606920821. The next prime is 30606920999. The reversal of 30606920960 is 6902960603.

It can be written as a sum of positive squares in 4 ways, for example, as 11225826304 + 19381094656 = 105952^2 + 139216^2 .

It is a super-2 number, since 2×30606920960² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 280797386 + ... + 280797494.

Almost surely, 2^30606920960 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 30606920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48578593140).

30606920960 is an abundant number, since it is smaller than the sum of its proper divisors (66550265320).

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

30606920960 is a wasteful number, since it uses less digits than its factorization.

30606920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 41.

The spelling of 30606920960 in words is "thirty billion, six hundred six million, nine hundred twenty thousand, nine hundred sixty".