864590263680 has 1728 divisors, whose sum is σ = 3518607450960. Its totient is φ = 180287078400.

The previous prime is 864590263673. The next prime is 864590263703. The reversal of 864590263680 is 86362095468.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 864590263680.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 14173610850 + ... + 14173610910.

Almost surely, 2^864590263680 is an apocalyptic number.

864590263680 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 864590263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759303725480).

864590263680 is an abundant number, since it is smaller than the sum of its proper divisors (2654017187280).

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

864590263680 is a wasteful number, since it uses less digits than its factorization.

864590263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 864590263680 in words is "eight hundred sixty-four billion, five hundred ninety million, two hundred sixty-three thousand, six hundred eighty".