869763664728000 has 2688 divisors, whose sum is σ = 3768137031859200. Its totient is φ = 195822821376000.

The previous prime is 869763664727989. The next prime is 869763664728001. The reversal of 869763664728000 is 827466367968.

869763664728000 is a `hidden beast` number, since 8 + 6 + 9 + 76 + 3 + 6 + 6 + 472 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 869763664728000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869763664728001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 192724053744 + ... + 192724058256.

It is an arithmetic number, because the mean of its divisors is an integer number (1401836693400).

Almost surely, 2^{869763664728000} is an apocalyptic number.

869763664728000 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 869763664728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884068515929600).

869763664728000 is an abundant number, since it is smaller than the sum of its proper divisors (2898373367131200).

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

869763664728000 is a wasteful number, since it uses less digits than its factorization.

869763664728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 869763664728000 in words is "eight hundred sixty-nine trillion, seven hundred sixty-three billion, six hundred sixty-four million, seven hundred twenty-eight thousand".