6726413232 has 480 divisors, whose sum is σ = 25078394880. Its totient is φ = 1687910400.

The previous prime is 6726413203. The next prime is 6726413297. The reversal of 6726413232 is 2323146276.

6726413232 is a `hidden beast` number, since 6 + 7 + 2 + 6 + 413 + 232 = 666.

It is a super-3 number, since 3×6726413232³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11342728 + ... + 11343320.

It is an arithmetic number, because the mean of its divisors is an integer number (52246656).

Almost surely, 2^6726413232 is an apocalyptic number.

6726413232 is a gapful number since it is divisible by the number (62) 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 6726413232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539197440).

6726413232 is an abundant number, since it is smaller than the sum of its proper divisors (18351981648).

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

6726413232 is a wasteful number, since it uses less digits than its factorization.

6726413232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 647 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 6726413232 is about 82014.7135092235. The cubic root of 6726413232 is about 1887.6777120923.

The spelling of 6726413232 in words is "six billion, seven hundred twenty-six million, four hundred thirteen thousand, two hundred thirty-two".