667385560571904 has 336 divisors, whose sum is σ = 1943683565690880. Its totient is φ = 220639958138880.

The previous prime is 667385560571819. The next prime is 667385560571909. The reversal of 667385560571904 is 409175065583766.

667385560571904 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 8 + 5 + 5 + 605 + 7 + 1 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (667385560571909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35290856209 + ... + 35290875119.

Almost surely, 2^{667385560571904} is an apocalyptic number.

667385560571904 is a gapful number since it is divisible by the number (64) 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 667385560571904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971841782845440).

667385560571904 is an abundant number, since it is smaller than the sum of its proper divisors (1276298005118976).

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

667385560571904 is a wasteful number, since it uses less digits than its factorization.

667385560571904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22839 (or 22812 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 667385560571904 in words is "six hundred sixty-seven trillion, three hundred eighty-five billion, five hundred sixty million, five hundred seventy-one thousand, nine hundred four".