669780196800 has 672 divisors, whose sum is σ = 2664966764544. Its totient is φ = 145041408000.

The previous prime is 669780196747. The next prime is 669780196843. The reversal of 669780196800 is 8691087966.

It is a Cunningham number, because it is equal to 818401²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21262662 + ... + 21294138.

It is an arithmetic number, because the mean of its divisors is an integer number (3965724352).

Almost surely, 2^669780196800 is an apocalyptic number.

669780196800 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 669780196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332483382272).

669780196800 is an abundant number, since it is smaller than the sum of its proper divisors (1995186567744).

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

669780196800 is a wasteful number, since it uses less digits than its factorization.

669780196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31557 (or 31542 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 669780196800 in words is "six hundred sixty-nine billion, seven hundred eighty million, one hundred ninety-six thousand, eight hundred".