287006815664064 has 504 divisors, whose sum is σ = 952106072121360. Its totient is φ = 85302294994944.

The previous prime is 287006815664033. The next prime is 287006815664089. The reversal of 287006815664064 is 460466518600782.

It is a happy number.

287006815664064 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 0 + 6 + 8 + 1 + 566 + 4 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 287006815663992 and 287006815664010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134570934 + ... + 136687050.

Almost surely, 2^{287006815664064} is an apocalyptic number.

287006815664064 is a gapful number since it is divisible by the number (24) 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 287006815664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476053036060680).

287006815664064 is an abundant number, since it is smaller than the sum of its proper divisors (665099256457296).

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

287006815664064 is an equidigital number, since it uses as much as digits as its factorization.

287006815664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116189 (or 2116158 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 287006815664064 in words is "two hundred eighty-seven trillion, six billion, eight hundred fifteen million, six hundred sixty-four thousand, sixty-four".