669820838400 has 1920 divisors, whose sum is σ = 2957742120960. Its totient is φ = 145291345920.

The previous prime is 669820838387. The next prime is 669820838437. The reversal of 669820838400 is 4838028966.

669820838400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4889203132 + ... + 4889203268.

It is an arithmetic number, because the mean of its divisors is an integer number (1540490688).

Almost surely, 2^669820838400 is an apocalyptic number.

669820838400 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 669820838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478871060480).

669820838400 is an abundant number, since it is smaller than the sum of its proper divisors (2287921282560).

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

669820838400 is a wasteful number, since it uses less digits than its factorization.

669820838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 669820838400 in words is "six hundred sixty-nine billion, eight hundred twenty million, eight hundred thirty-eight thousand, four hundred".