864750756870 has 1584 divisors, whose sum is σ = 3384218441520. Its totient is φ = 157136474880.

The previous prime is 864750756841. The next prime is 864750756943. The reversal of 864750756870 is 78657057468.

864750756870 is a `hidden beast` number, since 8 + 6 + 4 + 7 + 507 + 56 + 8 + 70 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 864750756798 and 864750756807.

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 791 ways as a sum of consecutive naturals, for example, 45513197721 + ... + 45513197739.

Almost surely, 2^864750756870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864750756870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692109220760).

864750756870 is an abundant number, since it is smaller than the sum of its proper divisors (2519467684650).

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

864750756870 is a wasteful number, since it uses less digits than its factorization.

864750756870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 864750756870 in words is "eight hundred sixty-four billion, seven hundred fifty million, seven hundred fifty-six thousand, eight hundred seventy".