868765834722240 has 5376 divisors, whose sum is σ = 4282067607552000. Its totient is φ = 161320532705280.

The previous prime is 868765834722217. The next prime is 868765834722287. The reversal of 868765834722240 is 42227438567868.

It is a happy number.

868765834722240 is a `hidden beast` number, since 8 + 6 + 8 + 7 + 6 + 58 + 347 + 2 + 224 + 0 = 666.

868765834722240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 260812317375 + ... + 260812320705.

It is an arithmetic number, because the mean of its divisors is an integer number (796515552000).

Almost surely, 2^{868765834722240} is an apocalyptic number.

868765834722240 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 868765834722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141033803776000).

868765834722240 is an abundant number, since it is smaller than the sum of its proper divisors (3413301772829760).

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

868765834722240 is a wasteful number, since it uses less digits than its factorization.

868765834722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 72.

The spelling of 868765834722240 in words is "eight hundred sixty-eight trillion, seven hundred sixty-five billion, eight hundred thirty-four million, seven hundred twenty-two thousand, two hundred forty".