8683130400 has 576 divisors, whose sum is σ = 33865332480. Its totient is φ = 1891123200.

The previous prime is 8683130383. The next prime is 8683130413. The reversal of 8683130400 is 40313868.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37917486 + ... + 37917714.

It is an arithmetic number, because the mean of its divisors is an integer number (58793980).

Almost surely, 2^8683130400 is an apocalyptic number.

8683130400 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 8683130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16932666240).

8683130400 is an abundant number, since it is smaller than the sum of its proper divisors (25182202080).

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

8683130400 is a wasteful number, since it uses less digits than its factorization.

8683130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8683130400 is about 93183.3161032596. The cubic root of 8683130400 is about 2055.3799121191.

The spelling of 8683130400 in words is "eight billion, six hundred eighty-three million, one hundred thirty thousand, four hundred".