4287656648808 has 512 divisors, whose sum is σ = 13564860825600. Its totient is φ = 1244951617536.

The previous prime is 4287656648797. The next prime is 4287656648833. The reversal of 4287656648808 is 8088466567824.

4287656648808 is a `hidden beast` number, since 4 + 2 + 87 + 6 + 5 + 66 + 488 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2399359291 + ... + 2399361077.

It is an arithmetic number, because the mean of its divisors is an integer number (26493868800).

Almost surely, 2^{4287656648808} 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 4287656648808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782430412800).

4287656648808 is an abundant number, since it is smaller than the sum of its proper divisors (9277204176792).

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

4287656648808 is a wasteful number, since it uses less digits than its factorization.

4287656648808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 4287656648808 in words is "four trillion, two hundred eighty-seven billion, six hundred fifty-six million, six hundred forty-eight thousand, eight hundred eight".