285784721664 has 216 divisors, whose sum is σ = 825906816000. Its totient is φ = 87688912896.

The previous prime is 285784721633. The next prime is 285784721743. The reversal of 285784721664 is 466127487582.

It is a junction number, because it is equal to n+sod(n) for n = 285784721598 and 285784721607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49707462 + ... + 49713210.

Almost surely, 2^285784721664 is an apocalyptic number.

285784721664 is a gapful number since it is divisible by the number (24) 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 285784721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412953408000).

285784721664 is an abundant number, since it is smaller than the sum of its proper divisors (540122094336).

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

285784721664 is a wasteful number, since it uses less digits than its factorization.

285784721664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6177 (or 6150 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 60.

The spelling of 285784721664 in words is "two hundred eighty-five billion, seven hundred eighty-four million, seven hundred twenty-one thousand, six hundred sixty-four".