284250972487680 has 2880 divisors, whose sum is σ = 1178654788878336. Its totient is φ = 64890077184000.

The previous prime is 284250972487679. The next prime is 284250972487717. The reversal of 284250972487680 is 86784279052482.

284250972487680 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 50 + 97 + 2 + 487 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 284250972487599 and 284250972487608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 742169640769 + ... + 742169641151.

Almost surely, 2^{284250972487680} is an apocalyptic number.

284250972487680 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 284250972487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589327394439168).

284250972487680 is an abundant number, since it is smaller than the sum of its proper divisors (894403816390656).

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

284250972487680 is an equidigital number, since it uses as much as digits as its factorization.

284250972487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 284250972487680 in words is "two hundred eighty-four trillion, two hundred fifty billion, nine hundred seventy-two million, four hundred eighty-seven thousand, six hundred eighty".