667297710361620 has 576 divisors, whose sum is σ = 2336339330567424. Its totient is φ = 152702582538240.

The previous prime is 667297710361609. The next prime is 667297710361627. The reversal of 667297710361620 is 26163017792766.

It is a happy number.

667297710361620 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 9 + 7 + 7 + 1 + 0 + 3 + 616 + 2 + 0 = 666.

It is a super-2 number, since 2×667297710361620² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667297710361627) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19351480899 + ... + 19351515381.

It is an arithmetic number, because the mean of its divisors is an integer number (4056144671124).

Almost surely, 2^{667297710361620} is an apocalyptic number.

667297710361620 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 667297710361620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168169665283712).

667297710361620 is an abundant number, since it is smaller than the sum of its proper divisors (1669041620205804).

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

667297710361620 is a wasteful number, since it uses less digits than its factorization.

667297710361620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40472 (or 40467 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 667297710361620 in words is "six hundred sixty-seven trillion, two hundred ninety-seven billion, seven hundred ten million, three hundred sixty-one thousand, six hundred twenty".