667275840 has 896 divisors, whose sum is σ = 3160166400. Its totient is φ = 128286720.

The previous prime is 667275827. The next prime is 667275853. The reversal of 667275840 is 48572766.

667275840 is a `hidden beast` number, since 6 + 67 + 2 + 7 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (667275827) and next prime (667275853).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11309731 + ... + 11309789.

Almost surely, 2^667275840 is an apocalyptic number.

667275840 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 667275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580083200).

667275840 is an abundant number, since it is smaller than the sum of its proper divisors (2492890560).

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

667275840 is a wasteful number, since it uses less digits than its factorization.

667275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 667275840 is about 25831.6828720082. The cubic root of 667275840 is about 873.8464646945.

The spelling of 667275840 in words is "six hundred sixty-seven million, two hundred seventy-five thousand, eight hundred forty".