8418196800 has 504 divisors, whose sum is σ = 32527777464. Its totient is φ = 2052587520.

The previous prime is 8418196789. The next prime is 8418196807. The reversal of 8418196800 is 86918148.

It can be written as a sum of positive squares in 12 ways, for example, as 6144051456 + 2274145344 = 78384^2 + 47688^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8418196807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36129484 + ... + 36129716.

It is an arithmetic number, because the mean of its divisors is an integer number (64539241).

Almost surely, 2^8418196800 is an apocalyptic number.

8418196800 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 8418196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263888732).

8418196800 is an abundant number, since it is smaller than the sum of its proper divisors (24109580664).

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

8418196800 is a wasteful number, since it uses less digits than its factorization.

8418196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 8418196800 is about 91750.7318771899. The cubic root of 8418196800 is about 2034.2595249002.

The spelling of 8418196800 in words is "eight billion, four hundred eighteen million, one hundred ninety-six thousand, eight hundred".