672322464 has 288 divisors, whose sum is σ = 2212056000. Its totient is φ = 198443520.

The previous prime is 672322463. The next prime is 672322507. The reversal of 672322464 is 464223276.

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

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

It is not an unprimeable number, because it can be changed into a prime (672322463) 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, 6168042 + ... + 6168150.

It is an arithmetic number, because the mean of its divisors is an integer number (7680750).

Almost surely, 2^672322464 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 672322464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106028000).

672322464 is an abundant number, since it is smaller than the sum of its proper divisors (1539733536).

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

672322464 is a wasteful number, since it uses less digits than its factorization.

672322464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 672322464 is about 25929.1817071037. The cubic root of 672322464 is about 876.0439084765.

It can be divided in two parts, 67232 and 2464, that added together give a palindrome (69696).

The spelling of 672322464 in words is "six hundred seventy-two million, three hundred twenty-two thousand, four hundred sixty-four".