864018584676 has 243 divisors, whose sum is σ = 2515862316513. Its totient is φ = 249856588800.

The previous prime is 864018584617. The next prime is 864018584687. The reversal of 864018584676 is 676485810468.

The square root of 864018584676 is 929526.

It is a perfect power (a square), and thus also a powerful number.

864018584676 is a `hidden beast` number, since 8 + 6 + 40 + 1 + 8 + 584 + 6 + 7 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 180817151076 + 683201433600 = 425226^2 + 826560^2 .

It is a super-2 number, since 2×864018584676² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1232551126 + ... + 1232551826.

Almost surely, 2^864018584676 is an apocalyptic number.

864018584676 is the 929526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864018584676

864018584676 is an abundant number, since it is smaller than the sum of its proper divisors (1651843731837).

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

864018584676 is a wasteful number, since it uses less digits than its factorization.

864018584676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 864018584676 in words is "eight hundred sixty-four billion, eighteen million, five hundred eighty-four thousand, six hundred seventy-six".