287868467376 has 800 divisors, whose sum is σ = 1016749780992. Its totient is φ = 76918947840.

The previous prime is 287868467333. The next prime is 287868467389. The reversal of 287868467376 is 673764868782.

287868467376 is a `hidden beast` number, since 2 + 8 + 78 + 68 + 467 + 37 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 1120110640 + ... + 1120110896.

Almost surely, 2^287868467376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287868467376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508374890496).

287868467376 is an abundant number, since it is smaller than the sum of its proper divisors (728881313616).

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

287868467376 is a wasteful number, since it uses less digits than its factorization.

287868467376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 424 counting only the distinct ones).

The product of its digits is 910393344, while the sum is 72.

The spelling of 287868467376 in words is "two hundred eighty-seven billion, eight hundred sixty-eight million, four hundred sixty-seven thousand, three hundred seventy-six".