672662016 has 320 divisors, whose sum is σ = 2268604800. Its totient is φ = 195084288.

The previous prime is 672661981. The next prime is 672662017. The reversal of 672662016 is 610266276.

672662016 is a `hidden beast` number, since 6 + 7 + 26 + 620 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672662017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3414430 + ... + 3414626.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2^672662016 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 672662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134302400).

672662016 is an abundant number, since it is smaller than the sum of its proper divisors (1595942784).

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

672662016 is a wasteful number, since it uses less digits than its factorization.

672662016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 672662016 is about 25935.7285611953. The cubic root of 672662016 is about 876.1913637102.

The spelling of 672662016 in words is "six hundred seventy-two million, six hundred sixty-two thousand, sixteen".