6909100641 has 27 divisors (see below), whose sum is σ = 10115246739. Its totient is φ = 4544391312.

The previous prime is 6909100633. The next prime is 6909100651. The reversal of 6909100641 is 1460019096.

The square root of 6909100641 is 83121.

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

6909100641 is a `hidden beast` number, since 6 + 9 + 0 + 9 + 1 + 0 + 0 + 641 = 666.

6909100641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 454585041 + 6454515600 = 21321^2 + 80340^2 .

It is not a de Polignac number, because 6909100641 - 2³ = 6909100633 is a prime.

It is a super-2 number, since 2×6909100641² = 95471343334933221762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6909100596 and 6909100605.

It is not an unprimeable number, because it can be changed into a prime (6909100651) 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, 25684255 + ... + 25684523.

Almost surely, 2^6909100641 is an apocalyptic number.

6909100641 is the 83121-st square number.

6909100641 is the 41561-st centered octagonal number.

It is an amenable number.

6909100641 is a deficient number, since it is larger than the sum of its proper divisors (3206146098).

6909100641 is an equidigital number, since it uses as much as digits as its factorization.

6909100641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 6909100641 is about 1904.6148798849.

Multiplying 6909100641 by its sum of digits (36), we get a square (248727623076 = 498726²).

Multiplying 6909100641 by its product of nonzero digits (11664), we get a square (80587749876624 = 8977068²).

The spelling of 6909100641 in words is "six billion, nine hundred nine million, one hundred thousand, six hundred forty-one".