6333726672 has 360 divisors, whose sum is σ = 22981107240. Its totient is φ = 1612154880.

The previous prime is 6333726593. The next prime is 6333726673. The reversal of 6333726672 is 2766273336.

6333726672 is a `hidden beast` number, since 633 + 3 + 7 + 2 + 6 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178382736 + 6155343936 = 13356^2 + 78456^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6333726673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2658922 + ... + 2661302.

It is an arithmetic number, because the mean of its divisors is an integer number (63836409).

Almost surely, 2^6333726672 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 6333726672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490553620).

6333726672 is an abundant number, since it is smaller than the sum of its proper divisors (16647380568).

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

6333726672 is a wasteful number, since it uses less digits than its factorization.

6333726672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2435 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 45.

The square root of 6333726672 is about 79584.7138086203. The cubic root of 6333726672 is about 1850.2046690533.

It can be divided in two parts, 63337 and 26672, that added together give a palindrome (90009).

The spelling of 6333726672 in words is "six billion, three hundred thirty-three million, seven hundred twenty-six thousand, six hundred seventy-two".