30319380864 has 480 divisors, whose sum is σ = 99270408600. Its totient is φ = 9153699840.

The previous prime is 30319380859. The next prime is 30319380907. The reversal of 30319380864 is 46808391303.

30319380864 is a `hidden beast` number, since 303 + 193 + 80 + 86 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 169381927 + ... + 169382105.

Almost surely, 2^30319380864 is an apocalyptic number.

30319380864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30319380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49635204300).

30319380864 is an abundant number, since it is smaller than the sum of its proper divisors (68951027736).

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

30319380864 is a wasteful number, since it uses less digits than its factorization.

30319380864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 30319380864 in words is "thirty billion, three hundred nineteen million, three hundred eighty thousand, eight hundred sixty-four".