8331966720 has 1152 divisors, whose sum is σ = 38428508160. Its totient is φ = 1658880000.

The previous prime is 8331966719. The next prime is 8331966733. The reversal of 8331966720 is 276691338.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82494670 + ... + 82494770.

It is an arithmetic number, because the mean of its divisors is an integer number (33358080).

Almost surely, 2^8331966720 is an apocalyptic number.

8331966720 is a gapful number since it is divisible by the number (80) 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 8331966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214254080).

8331966720 is an abundant number, since it is smaller than the sum of its proper divisors (30096541440).

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

8331966720 is a wasteful number, since it uses less digits than its factorization.

8331966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 8331966720 is about 91279.6073611187. The cubic root of 8331966720 is about 2027.2898322210.

The spelling of 8331966720 in words is "eight billion, three hundred thirty-one million, nine hundred sixty-six thousand, seven hundred twenty".