8607868467480 has 640 divisors, whose sum is σ = 30755255731200. Its totient is φ = 2154646821888.

The previous prime is 8607868467463. The next prime is 8607868467481. The reversal of 8607868467480 is 847648687068.

8607868467480 is a `hidden beast` number, since 8 + 6 + 0 + 7 + 8 + 6 + 84 + 67 + 480 = 666.

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 = 8607868467399 and 8607868467408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8607868467481) 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, 3196385014 + ... + 3196387706.

It is an arithmetic number, because the mean of its divisors is an integer number (48055087080).

Almost surely, 2^{8607868467480} 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 8607868467480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377627865600).

8607868467480 is an abundant number, since it is smaller than the sum of its proper divisors (22147387263720).

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

8607868467480 is a wasteful number, since it uses less digits than its factorization.

8607868467480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 8607868467480 in words is "eight trillion, six hundred seven billion, eight hundred sixty-eight million, four hundred sixty-seven thousand, four hundred eighty".