30321008640 has 1120 divisors, whose sum is σ = 126552777120. Its totient is φ = 6879707136.

The previous prime is 30321008639. The next prime is 30321008651. The reversal of 30321008640 is 4680012303.

It is a happy number.

30321008640 is a `hidden beast` number, since 3 + 0 + 3 + 2 + 10 + 0 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 819486702 + ... + 819486738.

It is an arithmetic number, because the mean of its divisors is an integer number (112993551).

Almost surely, 2^30321008640 is an apocalyptic number.

30321008640 is a gapful number since it is divisible by the number (30) 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 30321008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63276388560).

30321008640 is an abundant number, since it is smaller than the sum of its proper divisors (96231768480).

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

30321008640 is a wasteful number, since it uses less digits than its factorization.

30321008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 30321008640 in words is "thirty billion, three hundred twenty-one million, eight thousand, six hundred forty".