30669816960 has 384 divisors, whose sum is σ = 113327650800. Its totient is φ = 7615807488.

The previous prime is 30669816937. The next prime is 30669816973. The reversal of 30669816960 is 6961896603.

It can be written as a sum of positive squares in 8 ways, for example, as 13767736896 + 16902080064 = 117336^2 + 130008^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 30669816897 and 30669816906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9496626 + ... + 9499854.

Almost surely, 2^30669816960 is an apocalyptic number.

30669816960 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 30669816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56663825400).

30669816960 is an abundant number, since it is smaller than the sum of its proper divisors (82657833840).

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

30669816960 is a wasteful number, since it uses less digits than its factorization.

30669816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 30669816960 in words is "thirty billion, six hundred sixty-nine million, eight hundred sixteen thousand, nine hundred sixty".