8647459974720 has 2688 divisors, whose sum is σ = 39938435776512. Its totient is φ = 1734259507200.

The previous prime is 8647459974677. The next prime is 8647459974731. The reversal of 8647459974720 is 274799547468.

8647459974720 is a `hidden beast` number, since 8 + 6 + 4 + 7 + 4 + 599 + 7 + 4 + 7 + 20 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8725993425 + ... + 8725994415.

It is an arithmetic number, because the mean of its divisors is an integer number (14858049024).

Almost surely, 2^{8647459974720} is an apocalyptic number.

8647459974720 is a gapful number since it is divisible by the number (80) 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 8647459974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19969217888256).

8647459974720 is an abundant number, since it is smaller than the sum of its proper divisors (31290975801792).

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

8647459974720 is a wasteful number, since it uses less digits than its factorization.

8647459974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 8647459974720 in words is "eight trillion, six hundred forty-seven billion, four hundred fifty-nine million, nine hundred seventy-four thousand, seven hundred twenty".