8942068800 has 1512 divisors, whose sum is σ = 42009364800. Its totient is φ = 1788272640.

The previous prime is 8942068763. The next prime is 8942068843. The reversal of 8942068800 is 88602498.

It is a happy number.

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

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 215 ways as a sum of consecutive naturals, for example, 308347186 + ... + 308347214.

Almost surely, 2^8942068800 is an apocalyptic number.

8942068800 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 8942068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21004682400).

8942068800 is an abundant number, since it is smaller than the sum of its proper divisors (33067296000).

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

8942068800 is a wasteful number, since it uses less digits than its factorization.

8942068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8942068800 is about 94562.5126569721. The cubic root of 8942068800 is about 2075.6111849376.

The spelling of 8942068800 in words is "eight billion, nine hundred forty-two million, sixty-eight thousand, eight hundred".