673273872886272 has 960 divisors, whose sum is σ = 2151941238374400. Its totient is φ = 186442487562240.

The previous prime is 673273872886267. The next prime is 673273872886357. The reversal of 673273872886272 is 272688278372376.

It is a super-2 number, since 2×673273872886272² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 100895227128 + ... + 100895233800.

It is an arithmetic number, because the mean of its divisors is an integer number (2241605456640).

Almost surely, 2^{673273872886272} 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 673273872886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075970619187200).

673273872886272 is an abundant number, since it is smaller than the sum of its proper divisors (1478667365488128).

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

673273872886272 is a wasteful number, since it uses less digits than its factorization.

673273872886272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7097 (or 7074 counting only the distinct ones).

The product of its digits is 6372753408, while the sum is 78.

The spelling of 673273872886272 in words is "six hundred seventy-three trillion, two hundred seventy-three billion, eight hundred seventy-two million, eight hundred eighty-six thousand, two hundred seventy-two".