8361280000 has 400 divisors, whose sum is σ = 23297761080. Its totient is φ = 2981888000.

The previous prime is 8361279961. The next prime is 8361280003. The reversal of 8361280000 is 821638.

It can be written as a sum of positive squares in 20 ways, for example, as 1281067264 + 7080212736 = 35792^2 + 84144^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×8361280000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8361280003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157759974 + ... + 157760026.

Almost surely, 2^8361280000 is an apocalyptic number.

8361280000 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 8361280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11648880540).

8361280000 is an abundant number, since it is smaller than the sum of its proper divisors (14936481080).

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

8361280000 is an equidigital number, since it uses as much as digits as its factorization.

8361280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 8361280000 is about 91440.0349956189. The cubic root of 8361280000 is about 2029.6645000320.

The spelling of 8361280000 in words is "eight billion, three hundred sixty-one million, two hundred eighty thousand".