8195826240 has 672 divisors, whose sum is σ = 34191244800. Its totient is φ = 1865493504.

The previous prime is 8195826211. The next prime is 8195826269. The reversal of 8195826240 is 426285918.

8195826240 is a `hidden beast` number, since 8 + 1 + 9 + 582 + 62 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8195826211) and next prime (8195826269).

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 34292041 + ... + 34292279.

Almost surely, 2^8195826240 is an apocalyptic number.

8195826240 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 8195826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095622400).

8195826240 is an abundant number, since it is smaller than the sum of its proper divisors (25995418560).

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

8195826240 is an equidigital number, since it uses as much as digits as its factorization.

8195826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8195826240 is about 90530.8027137725. The cubic root of 8195826240 is about 2016.1874825641.

The spelling of 8195826240 in words is "eight billion, one hundred ninety-five million, eight hundred twenty-six thousand, two hundred forty".