284785916640 has 96 divisors (see below), whose sum is σ = 907155275040. Its totient is φ = 75089608704.

The previous prime is 284785916633. The next prime is 284785916651. The reversal of 284785916640 is 46619587482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×284785916640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3290449 + ... + 3375888.

It is an arithmetic number, because the mean of its divisors is an integer number (9449534115).

Almost surely, 2^284785916640 is an apocalyptic number.

284785916640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284785916640 is an abundant number, since it is smaller than the sum of its proper divisors (622369358400).

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

284785916640 is a wasteful number, since it uses less digits than its factorization.

284785916640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6666444 (or 6666436 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 284785916640 in words is "two hundred eighty-four billion, seven hundred eighty-five million, nine hundred sixteen thousand, six hundred forty".