30772668461600 has 144 divisors (see below), whose sum is σ = 81104291883720. Its totient is φ = 11333879808000.

The previous prime is 30772668461573. The next prime is 30772668461609. The reversal of 30772668461600 is 616486627703.

It can be written as a sum of positive squares in 12 ways, for example, as 663436314256 + 30109232147344 = 814516^2 + 5487188^2 .

It is not an unprimeable number, because it can be changed into a prime (30772668461609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480986 + ... + 7859814.

Almost surely, 2^{30772668461600} 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 30772668461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40552145941860).

30772668461600 is an abundant number, since it is smaller than the sum of its proper divisors (50331623422120).

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

30772668461600 is a wasteful number, since it uses less digits than its factorization.

30772668461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379263 (or 7379250 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 56.

The spelling of 30772668461600 in words is "thirty trillion, seven hundred seventy-two billion, six hundred sixty-eight million, four hundred sixty-one thousand, six hundred".