30072766464 has 432 divisors, whose sum is σ = 97900973352. Its totient is φ = 8833204224.

The previous prime is 30072766459. The next prime is 30072766511. The reversal of 30072766464 is 46466727003.

It can be written as a sum of positive squares in 4 ways, for example, as 28288548864 + 1784217600 = 168192^2 + 42240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567410662 + ... + 567410714.

Almost surely, 2^30072766464 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 30072766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48950486676).

30072766464 is an abundant number, since it is smaller than the sum of its proper divisors (67828206888).

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

30072766464 is an equidigital number, since it uses as much as digits as its factorization.

30072766464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 30072766464 in words is "thirty billion, seventy-two million, seven hundred sixty-six thousand, four hundred sixty-four".