284499966720 has 576 divisors, whose sum is σ = 1010549675520. Its totient is φ = 67882450944.

The previous prime is 284499966539. The next prime is 284499966757. The reversal of 284499966720 is 27669994482.

It is a super-2 number, since 2×284499966720² (a number of 24 digits) contains 22 as substring.

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, 126837919 + ... + 126840161.

It is an arithmetic number, because the mean of its divisors is an integer number (1754426520).

Almost surely, 2^284499966720 is an apocalyptic number.

284499966720 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 284499966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505274837760).

284499966720 is an abundant number, since it is smaller than the sum of its proper divisors (726049708800).

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

284499966720 is a wasteful number, since it uses less digits than its factorization.

284499966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 284499966720 in words is "two hundred eighty-four billion, four hundred ninety-nine million, nine hundred sixty-six thousand, seven hundred twenty".