8683466400 has 648 divisors, whose sum is σ = 36075128544. Its totient is φ = 1959552000.

The previous prime is 8683466387. The next prime is 8683466401. The reversal of 8683466400 is 46643868.

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

It is not an unprimeable number, because it can be changed into a prime (8683466401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 53272719 + ... + 53272881.

Almost surely, 2^8683466400 is an apocalyptic number.

8683466400 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 8683466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18037564272).

8683466400 is an abundant number, since it is smaller than the sum of its proper divisors (27391662144).

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

8683466400 is a wasteful number, since it uses less digits than its factorization.

8683466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 8683466400 is about 93185.1189836661. The cubic root of 8683466400 is about 2055.4064232471.

The spelling of 8683466400 in words is "eight billion, six hundred eighty-three million, four hundred sixty-six thousand, four hundred".