30781823364 has 384 divisors, whose sum is σ = 91782512640. Its totient is φ = 8870860800.

The previous prime is 30781823357. The next prime is 30781823393. The reversal of 30781823364 is 46332818703.

30781823364 is a `hidden beast` number, since 307 + 8 + 1 + 8 + 2 + 336 + 4 = 666.

It is a super-2 number, since 2×30781823364² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98976769 + ... + 98977079.

It is an arithmetic number, because the mean of its divisors is an integer number (239016960).

Almost surely, 2^30781823364 is an apocalyptic number.

30781823364 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 30781823364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45891256320).

30781823364 is an abundant number, since it is smaller than the sum of its proper divisors (61000689276).

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

30781823364 is a wasteful number, since it uses less digits than its factorization.

30781823364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 30781823364 in words is "thirty billion, seven hundred eighty-one million, eight hundred twenty-three thousand, three hundred sixty-four".