667422461772 has 192 divisors, whose sum is σ = 1987796428800. Its totient is φ = 191528712000.

The previous prime is 667422461749. The next prime is 667422461801. The reversal of 667422461772 is 277164224766.

667422461772 is a `hidden beast` number, since 6 + 6 + 7 + 422 + 46 + 177 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83309247 + ... + 83317257.

It is an arithmetic number, because the mean of its divisors is an integer number (10353106400).

Almost surely, 2^667422461772 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 667422461772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993898214400).

667422461772 is an abundant number, since it is smaller than the sum of its proper divisors (1320373967028).

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

667422461772 is a wasteful number, since it uses less digits than its factorization.

667422461772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11745 (or 11737 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 667422461772 in words is "six hundred sixty-seven billion, four hundred twenty-two million, four hundred sixty-one thousand, seven hundred seventy-two".