8282724273000 has 96 divisors (see below), whose sum is σ = 27995608073160. Its totient is φ = 2208726470400.

The previous prime is 8282724272969. The next prime is 8282724273023. The reversal of 8282724273000 is 3724272828.

8282724273000 is a `hidden beast` number, since 82 + 8 + 27 + 242 + 7 + 300 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4076869803876 + 4205854469124 = 2019126^2 + 2050818^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460142349 + ... + 460160348.

Almost surely, 2^{8282724273000} is an apocalyptic number.

It is an amenable number.

8282724273000 is an abundant number, since it is smaller than the sum of its proper divisors (19712883800160).

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

8282724273000 is a wasteful number, since it uses less digits than its factorization.

8282724273000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920302724 (or 920302707 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 8282724273000 in words is "eight trillion, two hundred eighty-two billion, seven hundred twenty-four million, two hundred seventy-three thousand".