6468792 has 64 divisors (see below), whose sum is σ = 17884800. Its totient is φ = 1933440.

The previous prime is 6468767. The next prime is 6468793. The reversal of 6468792 is 2978646.

It is a d-powerful number, because it can be written as 6 + 4⁶ + 6⁸ + 8 + 7² + 9⁷ + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468793) 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 15 ways as a sum of consecutive naturals, for example, 28134 + ... + 28362.

It is an arithmetic number, because the mean of its divisors is an integer number (279450).

Almost surely, 2^6468792 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 6468792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8942400).

6468792 is an abundant number, since it is smaller than the sum of its proper divisors (11416008).

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

6468792 is a wasteful number, since it uses less digits than its factorization.

6468792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 352 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 6468792 is about 2543.3820004081. The cubic root of 6468792 is about 186.3264010984.

It can be divided in two parts, 6468 and 792, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 6468792 in words is "six million, four hundred sixty-eight thousand, seven hundred ninety-two".