30010668480 has 1120 divisors, whose sum is σ = 126397877760. Its totient is φ = 6728417280.

The previous prime is 30010668469. The next prime is 30010668491. The reversal of 30010668480 is 8486601003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30010668469) and next prime (30010668491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 968086065 + ... + 968086095.

It is an arithmetic number, because the mean of its divisors is an integer number (112855248).

Almost surely, 2^30010668480 is an apocalyptic number.

30010668480 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 30010668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63198938880).

30010668480 is an abundant number, since it is smaller than the sum of its proper divisors (96387209280).

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

30010668480 is a wasteful number, since it uses less digits than its factorization.

30010668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 30010668480 in words is "thirty billion, ten million, six hundred sixty-eight thousand, four hundred eighty".