667430785004544 has 1320 divisors, whose sum is σ = 2322504357936840. Its totient is φ = 190116884643840.

The previous prime is 667430785004507. The next prime is 667430785004563. The reversal of 667430785004544 is 445400587034766.

667430785004544 is a `hidden beast` number, since 6 + 6 + 7 + 4 + 3 + 0 + 7 + 85 + 0 + 0 + 4 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63229214822400 + 604201570182144 = 7951680^2 + 24580512^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 172151348334 + ... + 172151352210.

It is an arithmetic number, because the mean of its divisors is an integer number (1759472998437).

Almost surely, 2^{667430785004544} is an apocalyptic number.

667430785004544 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 667430785004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161252178968420).

667430785004544 is an abundant number, since it is smaller than the sum of its proper divisors (1655073572932296).

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

667430785004544 is a wasteful number, since it uses less digits than its factorization.

667430785004544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 63.

The spelling of 667430785004544 in words is "six hundred sixty-seven trillion, four hundred thirty billion, seven hundred eighty-five million, four thousand, five hundred forty-four".