673351666416 has 960 divisors, whose sum is σ = 2382227527680. Its totient is φ = 181398528000.

The previous prime is 673351666411. The next prime is 673351666423. The reversal of 673351666416 is 614666153376.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673351666411) by changing a digit.

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, 2484692361 + ... + 2484692631.

It is an arithmetic number, because the mean of its divisors is an integer number (2481487008).

Almost surely, 2^673351666416 is an apocalyptic number.

673351666416 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 673351666416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191113763840).

673351666416 is an abundant number, since it is smaller than the sum of its proper divisors (1708875861264).

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

673351666416 is a wasteful number, since it uses less digits than its factorization.

673351666416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 450 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 673351666416 in words is "six hundred seventy-three billion, three hundred fifty-one million, six hundred sixty-six thousand, four hundred sixteen".