868042302237072 has 480 divisors, whose sum is σ = 2493158121881856. Its totient is φ = 281866656153600.

The previous prime is 868042302237059. The next prime is 868042302237073. The reversal of 868042302237072 is 270732203240868.

868042302237072 is a `hidden beast` number, since 8 + 6 + 80 + 423 + 0 + 2 + 2 + 3 + 70 + 72 = 666.

It is a super-2 number, since 2×868042302237072² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (868042302237073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239989575808 + ... + 239989579424.

Almost surely, 2^{868042302237072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868042302237072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246579060940928).

868042302237072 is an abundant number, since it is smaller than the sum of its proper divisors (1625115819644784).

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

868042302237072 is a wasteful number, since it uses less digits than its factorization.

868042302237072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 868042302237072 in words is "eight hundred sixty-eight trillion, forty-two billion, three hundred two million, two hundred thirty-seven thousand, seventy-two".