284400787861680 has 640 divisors, whose sum is σ = 1085554913181696. Its totient is φ = 60160502476800.

The previous prime is 284400787861667. The next prime is 284400787861699. The reversal of 284400787861680 is 86168787004482.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6014330997 + ... + 6014378283.

Almost surely, 2^{284400787861680} is an apocalyptic number.

284400787861680 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 284400787861680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542777456590848).

284400787861680 is an abundant number, since it is smaller than the sum of its proper divisors (801154125320016).

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

284400787861680 is a wasteful number, since it uses less digits than its factorization.

284400787861680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52385 (or 52379 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 69.

The spelling of 284400787861680 in words is "two hundred eighty-four trillion, four hundred billion, seven hundred eighty-seven million, eight hundred sixty-one thousand, six hundred eighty".