8687298622464 has 1056 divisors, whose sum is σ = 32630393134080. Its totient is φ = 2234708213760.

The previous prime is 8687298622463. The next prime is 8687298622469. The reversal of 8687298622464 is 4642268927868.

8687298622464 is a `hidden beast` number, since 8 + 6 + 8 + 72 + 98 + 6 + 2 + 2 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8687298622392 and 8687298622401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8687298622463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2505708859 + ... + 2505712325.

Almost surely, 2^{8687298622464} is an apocalyptic number.

8687298622464 is a gapful number since it is divisible by the number (84) 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 8687298622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315196567040).

8687298622464 is an abundant number, since it is smaller than the sum of its proper divisors (23943094511616).

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

8687298622464 is a wasteful number, since it uses less digits than its factorization.

8687298622464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3597 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 8687298622464 in words is "eight trillion, six hundred eighty-seven billion, two hundred ninety-eight million, six hundred twenty-two thousand, four hundred sixty-four".