287679742560 has 960 divisors, whose sum is σ = 1198174602240. Its totient is φ = 63646248960.

The previous prime is 287679742513. The next prime is 287679742579. The reversal of 287679742560 is 65247976782.

287679742560 is a `hidden beast` number, since 2 + 8 + 7 + 67 + 9 + 7 + 4 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 380025702 + ... + 380026458.

It is an arithmetic number, because the mean of its divisors is an integer number (1248098544).

Almost surely, 2^287679742560 is an apocalyptic number.

287679742560 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 287679742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599087301120).

287679742560 is an abundant number, since it is smaller than the sum of its proper divisors (910494859680).

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

287679742560 is a wasteful number, since it uses less digits than its factorization.

287679742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 287679742560 in words is "two hundred eighty-seven billion, six hundred seventy-nine million, seven hundred forty-two thousand, five hundred sixty".