669540834144 has 1440 divisors, whose sum is σ = 2591326273536. Its totient is φ = 167894415360.

The previous prime is 669540834143. The next prime is 669540834181. The reversal of 669540834144 is 441438045966.

669540834144 is a `hidden beast` number, since 6 + 6 + 9 + 540 + 83 + 4 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669540834143) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 5271975009 + ... + 5271975135.

Almost surely, 2^669540834144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669540834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295663136768).

669540834144 is an abundant number, since it is smaller than the sum of its proper divisors (1921785439392).

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

669540834144 is a wasteful number, since it uses less digits than its factorization.

669540834144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 669540834144 in words is "six hundred sixty-nine billion, five hundred forty million, eight hundred thirty-four thousand, one hundred forty-four".