8282063700 has 360 divisors, whose sum is σ = 27666895872. Its totient is φ = 2142443520.

The previous prime is 8282063681. The next prime is 8282063701. The reversal of 8282063700 is 73602828.

It is a happy number.

8282063700 is a `hidden beast` number, since 8 + 282 + 0 + 6 + 370 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282063701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65213037 + ... + 65213163.

Almost surely, 2^8282063700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8282063700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833447936).

8282063700 is an abundant number, since it is smaller than the sum of its proper divisors (19384832172).

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

8282063700 is a wasteful number, since it uses less digits than its factorization.

8282063700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8282063700 is about 91005.8443178239. The cubic root of 8282063700 is about 2023.2343456976.

The spelling of 8282063700 in words is "eight billion, two hundred eighty-two million, sixty-three thousand, seven hundred".