6314617872 has 80 divisors (see below), whose sum is σ = 18240935680. Its totient is φ = 2091443328.

The previous prime is 6314617801. The next prime is 6314617873. The reversal of 6314617872 is 2787164136.

6314617872 is a `hidden beast` number, since 631 + 4 + 6 + 1 + 7 + 8 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (6314617873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21273 + ... + 114375.

It is an arithmetic number, because the mean of its divisors is an integer number (228011696).

Almost surely, 2^6314617872 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 6314617872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120467840).

6314617872 is an abundant number, since it is smaller than the sum of its proper divisors (11926317808).

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

6314617872 is a wasteful number, since it uses less digits than its factorization.

6314617872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93277 (or 93265 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 6314617872 is about 79464.5699164099. The cubic root of 6314617872 is about 1848.3421107226.

It can be divided in two parts, 63146 and 17872, that added together give a palindrome (81018).

The spelling of 6314617872 in words is "six billion, three hundred fourteen million, six hundred seventeen thousand, eight hundred seventy-two".