667704960 has 384 divisors, whose sum is σ = 2560718160. Its totient is φ = 159252480.

The previous prime is 667704959. The next prime is 667704979. The reversal of 667704960 is 69407766.

It can be written as a sum of positive squares in 8 ways, for example, as 395850816 + 271854144 = 19896^2 + 16488^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770440 + ... + 2770680.

Almost surely, 2^667704960 is an apocalyptic number.

667704960 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 667704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280359080).

667704960 is an abundant number, since it is smaller than the sum of its proper divisors (1893013200).

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

667704960 is a wasteful number, since it uses less digits than its factorization.

667704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 667704960 is about 25839.9876160961. The cubic root of 667704960 is about 874.0337458846.

The spelling of 667704960 in words is "six hundred sixty-seven million, seven hundred four thousand, nine hundred sixty".