8084879899200 has 504 divisors, whose sum is σ = 30997922917416. Its totient is φ = 1986785280000.

The previous prime is 8084879899171. The next prime is 8084879899219. The reversal of 8084879899200 is 29989784808.

It can be written as a sum of positive squares in 12 ways, for example, as 5051597875776 + 3033282023424 = 2247576^2 + 1741632^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112471270 + ... + 112543130.

Almost surely, 2^{8084879899200} is an apocalyptic number.

8084879899200 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 8084879899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498961458708).

8084879899200 is an abundant number, since it is smaller than the sum of its proper divisors (22913043018216).

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

8084879899200 is a wasteful number, since it uses less digits than its factorization.

8084879899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72503 (or 72485 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 8084879899200 in words is "eight trillion, eighty-four billion, eight hundred seventy-nine million, eight hundred ninety-nine thousand, two hundred".