282007664640 has 768 divisors, whose sum is σ = 1114825420800. Its totient is φ = 67151462400.

The previous prime is 282007664623. The next prime is 282007664677. The reversal of 282007664640 is 46466700282.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111420175 + ... + 111422705.

It is an arithmetic number, because the mean of its divisors is an integer number (1451595600).

Almost surely, 2^282007664640 is an apocalyptic number.

282007664640 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 282007664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557412710400).

282007664640 is an abundant number, since it is smaller than the sum of its proper divisors (832817756160).

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

282007664640 is a wasteful number, since it uses less digits than its factorization.

282007664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 282007664640 in words is "two hundred eighty-two billion, seven million, six hundred sixty-four thousand, six hundred forty".