6673703634144 has 192 divisors, whose sum is σ = 19742562262080. Its totient is φ = 2192876789760.

The previous prime is 6673703634127. The next prime is 6673703634161. The reversal of 6673703634144 is 4414363073766.

6673703634144 is a `hidden beast` number, since 6 + 6 + 73 + 70 + 363 + 4 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (6673703634127) and next prime (6673703634161).

It is a super-2 number, since 2×6673703634144² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 117348564 + ... + 117405420.

It is an arithmetic number, because the mean of its divisors is an integer number (102825845115).

Almost surely, 2^{6673703634144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6673703634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9871281131040).

6673703634144 is an abundant number, since it is smaller than the sum of its proper divisors (13068858627936).

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

6673703634144 is a wasteful number, since it uses less digits than its factorization.

6673703634144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58810 (or 58796 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 6673703634144 in words is "six trillion, six hundred seventy-three billion, seven hundred three million, six hundred thirty-four thousand, one hundred forty-four".