8662420800 has 336 divisors, whose sum is σ = 34450324800. Its totient is φ = 2099865600.

The previous prime is 8662420759. The next prime is 8662420801. The reversal of 8662420800 is 80242668.

8662420800 is a `hidden beast` number, since 8 + 6 + 624 + 20 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8662420801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466086 + ... + 484314.

Almost surely, 2^8662420800 is an apocalyptic number.

8662420800 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 8662420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17225162400).

8662420800 is an abundant number, since it is smaller than the sum of its proper divisors (25787904000).

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

8662420800 is a wasteful number, since it uses less digits than its factorization.

8662420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18271 (or 18250 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8662420800 is about 93072.1268694339. The cubic root of 8662420800 is about 2053.7445579182.

The spelling of 8662420800 in words is "eight billion, six hundred sixty-two million, four hundred twenty thousand, eight hundred".