669728146560 has 384 divisors, whose sum is σ = 2422188679680. Its totient is φ = 157119283200.

The previous prime is 669728146537. The next prime is 669728146567. The reversal of 669728146560 is 65641827966.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 669728146494 and 669728146503.

It is not an unprimeable number, because it can be changed into a prime (669728146567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7155424 + ... + 7248416.

It is an arithmetic number, because the mean of its divisors is an integer number (6307783020).

Almost surely, 2^669728146560 is an apocalyptic number.

669728146560 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 669728146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211094339840).

669728146560 is an abundant number, since it is smaller than the sum of its proper divisors (1752460533120).

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

669728146560 is a wasteful number, since it uses less digits than its factorization.

669728146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93068 (or 93045 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 669728146560 in words is "six hundred sixty-nine billion, seven hundred twenty-eight million, one hundred forty-six thousand, five hundred sixty".