667123424640 has 192 divisors, whose sum is σ = 2359848254400. Its totient is φ = 173560504320.

The previous prime is 667123424587. The next prime is 667123424701. The reversal of 667123424640 is 46424321766.

667123424640 is a `hidden beast` number, since 6 + 67 + 123 + 4 + 2 + 464 + 0 = 666.

667123424640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1176280 + ... + 1648599.

It is an arithmetic number, because the mean of its divisors is an integer number (12290876325).

Almost surely, 2^667123424640 is an apocalyptic number.

667123424640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

667123424640 is an abundant number, since it is smaller than the sum of its proper divisors (1692724829760).

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

667123424640 is a wasteful number, since it uses less digits than its factorization.

667123424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824945 (or 2824930 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 667123424640 in words is "six hundred sixty-seven billion, one hundred twenty-three million, four hundred twenty-four thousand, six hundred forty".