667440891492480 has 2304 divisors, whose sum is σ = 2815858805760000. Its totient is φ = 150621722173440.

The previous prime is 667440891492461. The next prime is 667440891492497. The reversal of 667440891492480 is 84294198044766.

667440891492480 is a `hidden beast` number, since 6 + 6 + 7 + 4 + 4 + 0 + 8 + 91 + 492 + 48 + 0 = 666.

It is a super-2 number, since 2×667440891492480² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 667440891492399 and 667440891492408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 202316121871 + ... + 202316125169.

It is an arithmetic number, because the mean of its divisors is an integer number (1222160940000).

Almost surely, 2^{667440891492480} is an apocalyptic number.

667440891492480 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 667440891492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407929402880000).

667440891492480 is an abundant number, since it is smaller than the sum of its proper divisors (2148417914267520).

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

667440891492480 is a wasteful number, since it uses less digits than its factorization.

667440891492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 667440891492480 in words is "six hundred sixty-seven trillion, four hundred forty billion, eight hundred ninety-one million, four hundred ninety-two thousand, four hundred eighty".