869358042764640 has 2304 divisors, whose sum is σ = 3845069617213440. Its totient is φ = 181207663902720.

The previous prime is 869358042764639. The next prime is 869358042764647. The reversal of 869358042764640 is 46467240853968.

869358042764640 is a `hidden beast` number, since 8 + 6 + 9 + 3 + 5 + 80 + 427 + 64 + 64 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869358042764647) 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, 13242888297 + ... + 13242953943.

It is an arithmetic number, because the mean of its divisors is an integer number (1668867021360).

Almost surely, 2^{869358042764640} is an apocalyptic number.

869358042764640 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 869358042764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922534808606720).

869358042764640 is an abundant number, since it is smaller than the sum of its proper divisors (2975711574448800).

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

869358042764640 is a wasteful number, since it uses less digits than its factorization.

869358042764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65822 (or 65795 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 869358042764640 in words is "eight hundred sixty-nine trillion, three hundred fifty-eight billion, forty-two million, seven hundred sixty-four thousand, six hundred forty".