669252960 has 288 divisors, whose sum is σ = 2449530720. Its totient is φ = 165888000.

The previous prime is 669252959. The next prime is 669253037. The reversal of 669252960 is 69252966.

669252960 is a `hidden beast` number, since 6 + 69 + 2 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×669252960³ (a number of 27 digits) contains 333 as substring.

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, 1668760 + ... + 1669160.

It is an arithmetic number, because the mean of its divisors is an integer number (8505315).

Almost surely, 2^669252960 is an apocalyptic number.

669252960 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 669252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224765360).

669252960 is an abundant number, since it is smaller than the sum of its proper divisors (1780277760).

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

669252960 is a wasteful number, since it uses less digits than its factorization.

669252960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 669252960 is about 25869.9238499073. The cubic root of 669252960 is about 874.7086747167.

The spelling of 669252960 in words is "six hundred sixty-nine million, two hundred fifty-two thousand, nine hundred sixty".