8442969600 has 360 divisors, whose sum is σ = 30224518632. Its totient is φ = 2076672000.

The previous prime is 8442969569. The next prime is 8442969611. The reversal of 8442969600 is 69692448.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8442969600.

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 35 ways as a sum of consecutive naturals, for example, 6488950 + ... + 6490250.

Almost surely, 2^8442969600 is an apocalyptic number.

8442969600 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 8442969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112259316).

8442969600 is an abundant number, since it is smaller than the sum of its proper divisors (21781549032).

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

8442969600 is a wasteful number, since it uses less digits than its factorization.

8442969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 8442969600 is about 91885.6332622244. The cubic root of 8442969600 is about 2036.2530219755.

The spelling of 8442969600 in words is "eight billion, four hundred forty-two million, nine hundred sixty-nine thousand, six hundred".