30164606976 has 336 divisors, whose sum is σ = 96236887536. Its totient is φ = 8373141504.

The previous prime is 30164606951. The next prime is 30164606987. The reversal of 30164606976 is 67960646103.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 44555950 + ... + 44556626.

Almost surely, 2^30164606976 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 30164606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48118443768).

30164606976 is an abundant number, since it is smaller than the sum of its proper divisors (66072280560).

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

30164606976 is an equidigital number, since it uses as much as digits as its factorization.

30164606976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 30164606976 in words is "thirty billion, one hundred sixty-four million, six hundred six thousand, nine hundred seventy-six".