8295400512 has 630 divisors, whose sum is σ = 30655413162. Its totient is φ = 2210955264.

The previous prime is 8295400499. The next prime is 8295400543. The reversal of 8295400512 is 2150045928.

It can be written as a sum of positive squares in 3 ways, for example, as 1040449536 + 7254950976 = 32256^2 + 85176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 73410568 + ... + 73410680.

Almost surely, 2^8295400512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8295400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327706581).

8295400512 is an abundant number, since it is smaller than the sum of its proper divisors (22360012650).

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

8295400512 is a wasteful number, since it uses less digits than its factorization.

8295400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8295400512 is about 91079.0893235105. The cubic root of 8295400512 is about 2024.3197847040.

The spelling of 8295400512 in words is "eight billion, two hundred ninety-five million, four hundred thousand, five hundred twelve".