669735360 has 336 divisors, whose sum is σ = 2662732800. Its totient is φ = 151345152.

The previous prime is 669735359. The next prime is 669735371. The reversal of 669735360 is 63537966.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2802121 + ... + 2802359.

It is an arithmetic number, because the mean of its divisors is an integer number (7924800).

Almost surely, 2^669735360 is an apocalyptic number.

669735360 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 669735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331366400).

669735360 is an abundant number, since it is smaller than the sum of its proper divisors (1992997440).

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

669735360 is a wasteful number, since it uses less digits than its factorization.

669735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 669735360 is about 25879.2457386223. The cubic root of 669735360 is about 874.9187886532.

The spelling of 669735360 in words is "six hundred sixty-nine million, seven hundred thirty-five thousand, three hundred sixty".