8395296000 has 864 divisors, whose sum is σ = 35462778624. Its totient is φ = 1714176000.

The previous prime is 8395295981. The next prime is 8395296001. The reversal of 8395296000 is 6925938.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8395296001) 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 95 ways as a sum of consecutive naturals, for example, 270815985 + ... + 270816015.

Almost surely, 2^8395296000 is an apocalyptic number.

8395296000 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 8395296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17731389312).

8395296000 is an abundant number, since it is smaller than the sum of its proper divisors (27067482624).

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

8395296000 is a wasteful number, since it uses less digits than its factorization.

8395296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 8395296000 is about 91625.8478814794. The cubic root of 8395296000 is about 2032.4131881363.

The spelling of 8395296000 in words is "eight billion, three hundred ninety-five million, two hundred ninety-six thousand".