8218670400 has 1008 divisors, whose sum is σ = 34559930880. Its totient is φ = 1891123200.

The previous prime is 8218670377. The next prime is 8218670401. The reversal of 8218670400 is 40768128.

8218670400 is a `hidden beast` number, since 8 + 2 + 186 + 70 + 400 = 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 (8218670401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 265118385 + ... + 265118415.

Almost surely, 2^8218670400 is an apocalyptic number.

8218670400 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 8218670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17279965440).

8218670400 is an abundant number, since it is smaller than the sum of its proper divisors (26341260480).

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

8218670400 is a wasteful number, since it uses less digits than its factorization.

8218670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8218670400 is about 90656.8828054440. The cubic root of 8218670400 is about 2018.0589791759.

The spelling of 8218670400 in words is "eight billion, two hundred eighteen million, six hundred seventy thousand, four hundred".