8099643801600 has 810 divisors, whose sum is σ = 31419768345966. Its totient is φ = 1993605120000.

The previous prime is 8099643801593. The next prime is 8099643801643. The reversal of 8099643801600 is 61083469908.

It can be written as a sum of positive squares in 9 ways, for example, as 7351820107776 + 747823693824 = 2711424^2 + 864768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 622995100 + ... + 623008100.

Almost surely, 2^{8099643801600} is an apocalyptic number.

8099643801600 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 8099643801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709884172983).

8099643801600 is an abundant number, since it is smaller than the sum of its proper divisors (23320124544366).

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

8099643801600 is a wasteful number, since it uses less digits than its factorization.

8099643801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13071 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 8099643801600 in words is "eight trillion, ninety-nine billion, six hundred forty-three million, eight hundred one thousand, six hundred".