8385664000 has 352 divisors, whose sum is σ = 24524697600. Its totient is φ = 2860032000.

The previous prime is 8385663997. The next prime is 8385664013. The reversal of 8385664000 is 4665838.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43903905 + ... + 43904095.

Almost surely, 2^8385664000 is an apocalyptic number.

8385664000 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 8385664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12262348800).

8385664000 is an abundant number, since it is smaller than the sum of its proper divisors (16139033600).

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

8385664000 is an equidigital number, since it uses as much as digits as its factorization.

8385664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 8385664000 is about 91573.2712094528. The cubic root of 8385664000 is about 2031.6356219350.

The spelling of 8385664000 in words is "eight billion, three hundred eighty-five million, six hundred sixty-four thousand".