30966343680 has 192 divisors, whose sum is σ = 99296608320. Its totient is φ = 8238661632.

The previous prime is 30966343673. The next prime is 30966343691. The reversal of 30966343680 is 8634366903.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17724567 + ... + 17726313.

It is an arithmetic number, because the mean of its divisors is an integer number (517169835).

Almost surely, 2^30966343680 is an apocalyptic number.

30966343680 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 30966343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49648304160).

30966343680 is an abundant number, since it is smaller than the sum of its proper divisors (68330264640).

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

30966343680 is a wasteful number, since it uses less digits than its factorization.

30966343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 30966343680 in words is "thirty billion, nine hundred sixty-six million, three hundred forty-three thousand, six hundred eighty".