864417841560 has 576 divisors, whose sum is σ = 3537831941280. Its totient is φ = 181428387840.

The previous prime is 864417841541. The next prime is 864417841589. The reversal of 864417841560 is 65148714468.

864417841560 is a `hidden beast` number, since 8 + 6 + 4 + 4 + 1 + 78 + 4 + 1 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 864417841497 and 864417841506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44248995 + ... + 44268525.

Almost surely, 2^864417841560 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 864417841560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768915970640).

864417841560 is an abundant number, since it is smaller than the sum of its proper divisors (2673414099720).

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

864417841560 is a wasteful number, since it uses less digits than its factorization.

864417841560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19768 (or 19754 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 864417841560 in words is "eight hundred sixty-four billion, four hundred seventeen million, eight hundred forty-one thousand, five hundred sixty".