30368628864 has 720 divisors, whose sum is σ = 110874171870. Its totient is φ = 8226054144.

The previous prime is 30368628863. The next prime is 30368628877. The reversal of 30368628864 is 46882686303.

It is a happy number.

30368628864 is a `hidden beast` number, since 3 + 0 + 3 + 6 + 8 + 628 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30234254400 + 134374464 = 173880^2 + 11592^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 30368628864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30368628863) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 268748872 + ... + 268748984.

Almost surely, 2^30368628864 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 30368628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55437085935).

30368628864 is an abundant number, since it is smaller than the sum of its proper divisors (80505543006).

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

30368628864 is a wasteful number, since it uses less digits than its factorization.

30368628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 30368628864 in words is "thirty billion, three hundred sixty-eight million, six hundred twenty-eight thousand, eight hundred sixty-four".