8284676400 has 1440 divisors, whose sum is σ = 40969044480. Its totient is φ = 1505433600.

The previous prime is 8284676371. The next prime is 8284676423. The reversal of 8284676400 is 46764828.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 436035591 + ... + 436035609.

Almost surely, 2^8284676400 is an apocalyptic number.

8284676400 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 8284676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20484522240).

8284676400 is an abundant number, since it is smaller than the sum of its proper divisors (32684368080).

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

8284676400 is a wasteful number, since it uses less digits than its factorization.

8284676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8284676400 is about 91020.1977585195. The cubic root of 8284676400 is about 2023.4470764373.

The spelling of 8284676400 in words is "eight billion, two hundred eighty-four million, six hundred seventy-six thousand, four hundred".