667755440 has 120 divisors (see below), whose sum is σ = 1725920784. Its totient is φ = 240064000.

The previous prime is 667755419. The next prime is 667755443. The reversal of 667755440 is 44557766.

667755440 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 (44).

It is a junction number, because it is equal to n+sod(n) for n = 667755391 and 667755400.

It is not an unprimeable number, because it can be changed into a prime (667755443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977339 + ... + 978021.

Almost surely, 2^667755440 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 667755440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862960392).

667755440 is an abundant number, since it is smaller than the sum of its proper divisors (1058165344).

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

667755440 is a wasteful number, since it uses less digits than its factorization.

667755440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The square root of 667755440 is about 25840.9643782890. The cubic root of 667755440 is about 874.0557716367.

The spelling of 667755440 in words is "six hundred sixty-seven million, seven hundred fifty-five thousand, four hundred forty".