6692527608064 has 81 divisors (see below), whose sum is σ = 14192447739141. Its totient is φ = 3149093621760.

The previous prime is 6692527608061. The next prime is 6692527608073. The reversal of 6692527608064 is 4608067252966.

The square root of 6692527608064 is 2586992.

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., 5210445369600 + 1482082238464 = 2282640^2 + 1217408^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6692527607993 and 6692527608011.

It is not an unprimeable number, because it can be changed into a prime (6692527608061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 703657069 + ... + 703666579.

Almost surely, 2^{6692527608064} is an apocalyptic number.

6692527608064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6692527608064 is the 2586992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6692527608064

6692527608064 is an abundant number, since it is smaller than the sum of its proper divisors (7499920131077).

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

6692527608064 is an frugal number, since it uses more digits than its factorization.

6692527608064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19072 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 6692527608064 in words is "six trillion, six hundred ninety-two billion, five hundred twenty-seven million, six hundred eight thousand, sixty-four".