667285568964 has 288 divisors, whose sum is σ = 2157157941120. Its totient is φ = 179436176640.

The previous prime is 667285568899. The next prime is 667285569019. The reversal of 667285568964 is 469865582766.

667285568964 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 8 + 556 + 8 + 9 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 667285568892 and 667285568901.

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, 7241299 + ... + 7332869.

It is an arithmetic number, because the mean of its divisors is an integer number (7490131740).

Almost surely, 2^667285568964 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 667285568964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078578970560).

667285568964 is an abundant number, since it is smaller than the sum of its proper divisors (1489872372156).

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

667285568964 is a wasteful number, since it uses less digits than its factorization.

667285568964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91627 (or 91600 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 667285568964 in words is "six hundred sixty-seven billion, two hundred eighty-five million, five hundred sixty-eight thousand, nine hundred sixty-four".