287664725760 has 144 divisors (see below), whose sum is σ = 938277236736. Its totient is φ = 75078406144.

The previous prime is 287664725741. The next prime is 287664725771. The reversal of 287664725760 is 67527466782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 287664725694 and 287664725703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616464 + ... + 977423.

It is an arithmetic number, because the mean of its divisors is an integer number (6515814144).

Almost surely, 2^287664725760 is an apocalyptic number.

287664725760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287664725760 is an abundant number, since it is smaller than the sum of its proper divisors (650612510976).

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

287664725760 is a wasteful number, since it uses less digits than its factorization.

287664725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593958 (or 1593944 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 60.

The spelling of 287664725760 in words is "two hundred eighty-seven billion, six hundred sixty-four million, seven hundred twenty-five thousand, seven hundred sixty".