6669401506416 has 640 divisors, whose sum is σ = 21905163694080. Its totient is φ = 1924715520000.

The previous prime is 6669401506399. The next prime is 6669401506433. The reversal of 6669401506416 is 6146051049666.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6669401506399) and next prime (6669401506433).

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

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 127 ways as a sum of consecutive naturals, for example, 6998322196 + ... + 6998323148.

It is an arithmetic number, because the mean of its divisors is an integer number (34226818272).

Almost surely, 2^{6669401506416} is an apocalyptic number.

6669401506416 is a gapful number since it is divisible by the number (66) 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 6669401506416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10952581847040).

6669401506416 is an abundant number, since it is smaller than the sum of its proper divisors (15235762187664).

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

6669401506416 is a wasteful number, since it uses less digits than its factorization.

6669401506416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 6669401506416 in words is "six trillion, six hundred sixty-nine billion, four hundred one million, five hundred six thousand, four hundred sixteen".