282945564720 has 1440 divisors, whose sum is σ = 1255389774912. Its totient is φ = 58692501504.

The previous prime is 282945564709. The next prime is 282945564749. The reversal of 282945564720 is 27465549282.

282945564720 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 4 + 5 + 564 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 903979284 + ... + 903979596.

Almost surely, 2^282945564720 is an apocalyptic number.

282945564720 is a gapful number since it is divisible by the number (20) 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 282945564720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627694887456).

282945564720 is an abundant number, since it is smaller than the sum of its proper divisors (972444210192).

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

282945564720 is a wasteful number, since it uses less digits than its factorization.

282945564720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 282945564720 in words is "two hundred eighty-two billion, nine hundred forty-five million, five hundred sixty-four thousand, seven hundred twenty".