684264672 has 288 divisors, whose sum is σ = 2486195712. Its totient is φ = 180278784.

The previous prime is 684264667. The next prime is 684264673. The reversal of 684264672 is 276462486.

It is a tau number, because it is divible by the number of its divisors (288).

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 (684264673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707133 + ... + 708099.

It is an arithmetic number, because the mean of its divisors is an integer number (8632624).

Almost surely, 2^684264672 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 684264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243097856).

684264672 is an abundant number, since it is smaller than the sum of its proper divisors (1801931040).

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

684264672 is a wasteful number, since it uses less digits than its factorization.

684264672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 992 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 684264672 is about 26158.4531652772. The cubic root of 684264672 is about 881.2004415770.

It can be divided in two parts, 684 and 264672, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 684264672 in words is "six hundred eighty-four million, two hundred sixty-four thousand, six hundred seventy-two".