667395671040 has 1056 divisors, whose sum is σ = 2719850275584. Its totient is φ = 148175585280.

The previous prime is 667395671039. The next prime is 667395671057. The reversal of 667395671040 is 40176593766.

It is a happy number.

667395671040 is a `hidden beast` number, since 6 + 6 + 7 + 39 + 567 + 1 + 0 + 40 = 666.

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, 2105348962 + ... + 2105349278.

Almost surely, 2^667395671040 is an apocalyptic number.

667395671040 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 667395671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359925137792).

667395671040 is an abundant number, since it is smaller than the sum of its proper divisors (2052454604544).

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

667395671040 is a wasteful number, since it uses less digits than its factorization.

667395671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 667395671040 in words is "six hundred sixty-seven billion, three hundred ninety-five million, six hundred seventy-one thousand, forty".