672110640 has 240 divisors, whose sum is σ = 2447441568. Its totient is φ = 164634624.

The previous prime is 672110639. The next prime is 672110651. The reversal of 672110640 is 46011276.

672110640 is a `hidden beast` number, since 6 + 7 + 2 + 1 + 10 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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, 525682 + ... + 526958.

Almost surely, 2^672110640 is an apocalyptic number.

672110640 is a gapful number since it is divisible by the number (60) 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 672110640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223720784).

672110640 is an abundant number, since it is smaller than the sum of its proper divisors (1775330928).

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

672110640 is a wasteful number, since it uses less digits than its factorization.

672110640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 672110640 is about 25925.0967211311. The cubic root of 672110640 is about 875.9518957759.

The spelling of 672110640 in words is "six hundred seventy-two million, one hundred ten thousand, six hundred forty".