287840834064 has 225 divisors, whose sum is σ = 969565783197. Its totient is φ = 82201609728.

The previous prime is 287840834053. The next prime is 287840834069. The reversal of 287840834064 is 460438048782.

It is a happy number.

The square root of 287840834064 is 536508.

It is a perfect power (a square), and thus also a powerful number.

287840834064 is a `hidden beast` number, since 2 + 87 + 84 + 0 + 83 + 406 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72841691664 + 214999142400 = 269892^2 + 463680^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 287840834064.

It is not an unprimeable number, because it can be changed into a prime (287840834069) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 135198952 + ... + 135201080.

Almost surely, 2^287840834064 is an apocalyptic number.

287840834064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

287840834064 is the 536508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287840834064

287840834064 is an abundant number, since it is smaller than the sum of its proper divisors (681724949133).

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

287840834064 is an frugal number, since it uses more digits than its factorization.

287840834064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 287840834064 in words is "two hundred eighty-seven billion, eight hundred forty million, eight hundred thirty-four thousand, sixty-four".