6726802457664 has 189 divisors, whose sum is σ = 19661467009093. Its totient is φ = 2198881611264.

The previous prime is 6726802457659. The next prime is 6726802457671. The reversal of 6726802457664 is 4667542086276.

The square root of 6726802457664 is 2593608.

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

6726802457664 is a `hidden beast` number, since 6 + 7 + 268 + 0 + 245 + 76 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4849332494400 + 1877469963264 = 2202120^2 + 1370208^2 .

It is a Duffinian number.

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, 3299068357 + ... + 3299070395.

Almost surely, 2^{6726802457664} is an apocalyptic number.

6726802457664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6726802457664 is the 2593608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6726802457664

6726802457664 is an abundant number, since it is smaller than the sum of its proper divisors (12934664551429).

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

6726802457664 is an frugal number, since it uses more digits than its factorization.

6726802457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 6726802457664 in words is "six trillion, seven hundred twenty-six billion, eight hundred two million, four hundred fifty-seven thousand, six hundred sixty-four".