6681273753856 has 405 divisors, whose sum is σ = 15708941492769. Its totient is φ = 2834778046464.

The previous prime is 6681273753841. The next prime is 6681273753883. The reversal of 6681273753856 is 6583573721866.

The square root of 6681273753856 is 2584816.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2038041760000 + 4643231993856 = 1427600^2 + 2154816^2 .

It is a Duffinian number.

Its product of digits (304819200) is a multiple of the sum of its prime divisors (75).

It is a junction number, because it is equal to n+sod(n) for n = 6681273753791 and 6681273753800.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 155378459371 + ... + 155378459413.

Almost surely, 2^{6681273753856} is an apocalyptic number.

6681273753856 is the 2584816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6681273753856

6681273753856 is an abundant number, since it is smaller than the sum of its proper divisors (9027667738913).

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

6681273753856 is an frugal number, since it uses more digits than its factorization.

6681273753856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 75 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 67.

The spelling of 6681273753856 in words is "six trillion, six hundred eighty-one billion, two hundred seventy-three million, seven hundred fifty-three thousand, eight hundred fifty-six".