7964795906809 has 27 divisors (see below), whose sum is σ = 9444525235887. Its totient is φ = 6697276679184.

The previous prime is 7964795906801. The next prime is 7964795906813. The reversal of 7964795906809 is 9086095974697.

The square root of 7964795906809 is 2822197.

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., 5741798402025 + 2222997504784 = 2396205^2 + 1490972^2 .

It is not a de Polignac number, because 7964795906809 - 2³ = 7964795906801 is a prime.

It is a super-2 number, since 2×7964795906809² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7964795906801) 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, 1047031284 + ... + 1047038890.

Almost surely, 2^{7964795906809} is an apocalyptic number.

7964795906809 is the 2822197-th square number.

7964795906809 is the 1411099-th centered octagonal number.

It is an amenable number.

7964795906809 is a deficient number, since it is larger than the sum of its proper divisors (1479729329078).

7964795906809 is an frugal number, since it uses more digits than its factorization.

7964795906809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15334 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 1851776640, while the sum is 79.

The spelling of 7964795906809 in words is "seven trillion, nine hundred sixty-four billion, seven hundred ninety-five million, nine hundred six thousand, eight hundred nine".