8361273600 has 405 divisors, whose sum is σ = 31160783577. Its totient is φ = 2212116480.

The previous prime is 8361273581. The next prime is 8361273617. The reversal of 8361273600 is 63721638.

It is a happy number.

The square root of 8361273600 is 91440.

It is a perfect power (a square), and thus also a powerful number.

8361273600 is a `hidden beast` number, since 8 + 3 + 612 + 7 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3010058496 + 5351215104 = 54864^2 + 73152^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65836737 + ... + 65836863.

Almost surely, 2^8361273600 is an apocalyptic number.

8361273600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8361273600 is the 91440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8361273600

8361273600 is an abundant number, since it is smaller than the sum of its proper divisors (22799509977).

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

8361273600 is an equidigital number, since it uses as much as digits as its factorization.

8361273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 8361273600 is about 2029.6639821745.

Multiplying 8361273600 by its sum of digits (36), we get a square (301005849600 = 548640²).

8361273600 divided by its sum of digits (36) gives a square (232257600 = 15240²).

It can be divided in two parts, 8361 and 273600, that added together give a square (281961 = 531²).

The spelling of 8361273600 in words is "eight billion, three hundred sixty-one million, two hundred seventy-three thousand, six hundred".