30664327680 has 320 divisors, whose sum is σ = 124484532480. Its totient is φ = 7008878592.

The previous prime is 30664327621. The next prime is 30664327699. The reversal of 30664327680 is 8672346603.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 452152 + ... + 515528.

It is an arithmetic number, because the mean of its divisors is an integer number (389014164).

Almost surely, 2^30664327680 is an apocalyptic number.

30664327680 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 30664327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62242266240).

30664327680 is an abundant number, since it is smaller than the sum of its proper divisors (93820204800).

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

30664327680 is an equidigital number, since it uses as much as digits as its factorization.

30664327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63416 (or 63394 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 30664327680 in words is "thirty billion, six hundred sixty-four million, three hundred twenty-seven thousand, six hundred eighty".