667293894144 has 560 divisors, whose sum is σ = 2071777390320. Its totient is φ = 214453370880.

The previous prime is 667293894061. The next prime is 667293894199. The reversal of 667293894144 is 441498392766.

It is a happy number.

667293894144 is a `hidden beast` number, since 66 + 72 + 93 + 8 + 9 + 414 + 4 = 666.

It is a super-2 number, since 2×667293894144² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2913947022 + ... + 2913947250.

Almost surely, 2^667293894144 is an apocalyptic number.

667293894144 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 667293894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035888695160).

667293894144 is an abundant number, since it is smaller than the sum of its proper divisors (1404483496176).

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

667293894144 is an equidigital number, since it uses as much as digits as its factorization.

667293894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 482 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 667293894144 in words is "six hundred sixty-seven billion, two hundred ninety-three million, eight hundred ninety-four thousand, one hundred forty-four".