8642246800 has 120 divisors (see below), whose sum is σ = 22875982272. Its totient is φ = 3111360000.

The previous prime is 8642246783. The next prime is 8642246813. The reversal of 8642246800 is 86422468.

It is a super-2 number, since 2×8642246800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434677 + ... + 454123.

Almost surely, 2^8642246800 is an apocalyptic number.

8642246800 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 8642246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11437991136).

8642246800 is an abundant number, since it is smaller than the sum of its proper divisors (14233735472).

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

8642246800 is a wasteful number, since it uses less digits than its factorization.

8642246800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19577 (or 19566 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 8642246800 is about 92963.6853830570. The cubic root of 8642246800 is about 2052.1489897609.

8642246800 divided by its reverse (86422468) gives a square (100 = 10²).

The spelling of 8642246800 in words is "eight billion, six hundred forty-two million, two hundred forty-six thousand, eight hundred".