672038640 has 480 divisors, whose sum is σ = 2875530240. Its totient is φ = 141253632.

The previous prime is 672038639. The next prime is 672038651. The reversal of 672038640 is 46830276.

672038640 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 3 + 8 + 640 = 666.

672038640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 672038595 and 672038604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2555149 + ... + 2555411.

It is an arithmetic number, because the mean of its divisors is an integer number (5990688).

Almost surely, 2^672038640 is an apocalyptic number.

672038640 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 672038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437765120).

672038640 is an abundant number, since it is smaller than the sum of its proper divisors (2203491600).

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

672038640 is a wasteful number, since it uses less digits than its factorization.

672038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 672038640 is about 25923.7080680986. The cubic root of 672038640 is about 875.9206158125.

The spelling of 672038640 in words is "six hundred seventy-two million, thirty-eight thousand, six hundred forty".