8426616800 has 288 divisors, whose sum is σ = 24546428928. Its totient is φ = 2764523520.

The previous prime is 8426616791. The next prime is 8426616827. The reversal of 8426616800 is 86166248.

It is a congruent number.

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, 13882097 + ... + 13882703.

It is an arithmetic number, because the mean of its divisors is an integer number (85230656).

Almost surely, 2^8426616800 is an apocalyptic number.

8426616800 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 8426616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12273214464).

8426616800 is an abundant number, since it is smaller than the sum of its proper divisors (16119812128).

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

8426616800 is a wasteful number, since it uses less digits than its factorization.

8426616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 8426616800 is about 91796.6056017324. The cubic root of 8426616800 is about 2034.9375306563.

The spelling of 8426616800 in words is "eight billion, four hundred twenty-six million, six hundred sixteen thousand, eight hundred".