864530690688 has 192 divisors, whose sum is σ = 2849024929920. Its totient is φ = 246500444160.

The previous prime is 864530690669. The next prime is 864530690689. The reversal of 864530690688 is 886096035468.

864530690688 is a `hidden beast` number, since 8 + 6 + 4 + 530 + 6 + 90 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (864530690689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3817098 + ... + 4037238.

It is an arithmetic number, because the mean of its divisors is an integer number (14838671510).

Almost surely, 2^864530690688 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 864530690688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424512464960).

864530690688 is an abundant number, since it is smaller than the sum of its proper divisors (1984494239232).

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

864530690688 is a wasteful number, since it uses less digits than its factorization.

864530690688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220655 (or 220640 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 864530690688 in words is "eight hundred sixty-four billion, five hundred thirty million, six hundred ninety thousand, six hundred eighty-eight".