667284918720 has 672 divisors, whose sum is σ = 2613247910400. Its totient is φ = 140925173760.

The previous prime is 667284918709. The next prime is 667284918757. The reversal of 667284918720 is 27819482766.

It is a happy number.

667284918720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (60) 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 (60).

It is a congruent number.

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, 214628526 + ... + 214631634.

Almost surely, 2^667284918720 is an apocalyptic number.

667284918720 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 667284918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306623955200).

667284918720 is an abundant number, since it is smaller than the sum of its proper divisors (1945962991680).

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

667284918720 is a wasteful number, since it uses less digits than its factorization.

667284918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 667284918720 in words is "six hundred sixty-seven billion, two hundred eighty-four million, nine hundred eighteen thousand, seven hundred twenty".