669373800480 has 2160 divisors, whose sum is σ = 3167327959488. Its totient is φ = 130288435200.

The previous prime is 669373800461. The next prime is 669373800503. The reversal of 669373800480 is 84008373966.

669373800480 is a `hidden beast` number, since 6 + 6 + 93 + 73 + 8 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×669373800480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3172387575 + ... + 3172387785.

Almost surely, 2^669373800480 is an apocalyptic number.

669373800480 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 669373800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583663979744).

669373800480 is an abundant number, since it is smaller than the sum of its proper divisors (2497954159008).

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

669373800480 is a wasteful number, since it uses less digits than its factorization.

669373800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 669373800480 in words is "six hundred sixty-nine billion, three hundred seventy-three million, eight hundred thousand, four hundred eighty".