669586086144 has 576 divisors, whose sum is σ = 2208756211200. Its totient is φ = 199001899008.

The previous prime is 669586086133. The next prime is 669586086151. The reversal of 669586086144 is 441680685966.

669586086144 is a `hidden beast` number, since 6 + 6 + 9 + 5 + 8 + 6 + 0 + 8 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294581392 + ... + 294583664.

It is an arithmetic number, because the mean of its divisors is an integer number (3834646200).

Almost surely, 2^669586086144 is an apocalyptic number.

669586086144 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 669586086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104378105600).

669586086144 is an abundant number, since it is smaller than the sum of its proper divisors (1539170125056).

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

669586086144 is a wasteful number, since it uses less digits than its factorization.

669586086144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 669586086144 in words is "six hundred sixty-nine billion, five hundred eighty-six million, eighty-six thousand, one hundred forty-four".