287718619968 has 1120 divisors, whose sum is σ = 1037206114560. Its totient is φ = 77954088960.

The previous prime is 287718619963. The next prime is 287718620009. The reversal of 287718619968 is 869916817782.

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 = 287718619896 and 287718619905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287718619963) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1607366503 + ... + 1607366681.

It is an arithmetic number, because the mean of its divisors is an integer number (926076888).

Almost surely, 2^287718619968 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 287718619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518603057280).

287718619968 is an abundant number, since it is smaller than the sum of its proper divisors (749487494592).

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

287718619968 is a wasteful number, since it uses less digits than its factorization.

287718619968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 72.

The spelling of 287718619968 in words is "two hundred eighty-seven billion, seven hundred eighteen million, six hundred nineteen thousand, nine hundred sixty-eight".