8195984694240 has 576 divisors, whose sum is σ = 32824868364288. Its totient is φ = 1706290790400.

The previous prime is 8195984694199. The next prime is 8195984694241. The reversal of 8195984694240 is 424964895918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8195984694241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12064425 + ... + 12725655.

It is an arithmetic number, because the mean of its divisors is an integer number (56987618688).

Almost surely, 2^{8195984694240} is an apocalyptic number.

8195984694240 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 8195984694240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412434182144).

8195984694240 is an abundant number, since it is smaller than the sum of its proper divisors (24628883670048).

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

8195984694240 is a wasteful number, since it uses less digits than its factorization.

8195984694240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661311 (or 661296 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 69.

The spelling of 8195984694240 in words is "eight trillion, one hundred ninety-five billion, nine hundred eighty-four million, six hundred ninety-four thousand, two hundred forty".