284472064800 has 2160 divisors, whose sum is σ = 1339656506496. Its totient is φ = 57480192000.

The previous prime is 284472064787. The next prime is 284472064801. The reversal of 284472064800 is 8460274482.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284472064801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3896877564 + ... + 3896877636.

Almost surely, 2^284472064800 is an apocalyptic number.

284472064800 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 284472064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669828253248).

284472064800 is an abundant number, since it is smaller than the sum of its proper divisors (1055184441696).

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

284472064800 is a wasteful number, since it uses less digits than its factorization.

284472064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 284472064800 in words is "two hundred eighty-four billion, four hundred seventy-two million, sixty-four thousand, eight hundred".