6873373810944 has 243 divisors, whose sum is σ = 19991485645677. Its totient is φ = 2271199592448.

The previous prime is 6873373810939. The next prime is 6873373810951. The reversal of 6873373810944 is 4490183733786.

The square root of 6873373810944 is 2621712.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1665338630400 + 5208035180544 = 1290480^2 + 2282112^2 .

It is a super-2 number, since 2×6873373810944² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24287539827 + ... + 24287540109.

Almost surely, 2^{6873373810944} is an apocalyptic number.

6873373810944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6873373810944 is the 2621712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6873373810944

6873373810944 is an abundant number, since it is smaller than the sum of its proper divisors (13118111834733).

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

6873373810944 is an frugal number, since it uses more digits than its factorization.

6873373810944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 6873373810944 in words is "six trillion, eight hundred seventy-three billion, three hundred seventy-three million, eight hundred ten thousand, nine hundred forty-four".