6734007721 has 27 divisors (see below), whose sum is σ = 8280844119. Its totient is φ = 5459354208.

The previous prime is 6734007691. The next prime is 6734007739. The reversal of 6734007721 is 1277004376.

The square root of 6734007721 is 82061.

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., 195021225 + 6538986496 = 13965^2 + 80864^2 .

It is not a de Polignac number, because 6734007721 - 2¹³ = 6733999529 is a prime.

It is a super-2 number, since 2×6734007721² = 90693719972975227682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6734007121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10913805 + ... + 10914421.

Almost surely, 2^6734007721 is an apocalyptic number.

6734007721 is the 82061-st square number.

6734007721 is the 41031-st centered octagonal number.

It is an amenable number.

6734007721 is a deficient number, since it is larger than the sum of its proper divisors (1546836398).

6734007721 is an frugal number, since it uses more digits than its factorization.

6734007721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The cubic root of 6734007721 is about 1888.3878754017.

The spelling of 6734007721 in words is "six billion, seven hundred thirty-four million, seven thousand, seven hundred twenty-one".