7721564117 has 16 divisors (see below), whose sum is σ = 8259884928. Its totient is φ = 7201846080.

The previous prime is 7721564107. The next prime is 7721564141. The reversal of 7721564117 is 7114651277.

It is a cyclic number.

It is not a de Polignac number, because 7721564117 - 2¹⁰ = 7721563093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7721564107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179267 + ... + 218127.

It is an arithmetic number, because the mean of its divisors is an integer number (516242808).

Almost surely, 2^7721564117 is an apocalyptic number.

It is an amenable number.

7721564117 is a deficient number, since it is larger than the sum of its proper divisors (538320811).

7721564117 is a wasteful number, since it uses less digits than its factorization.

7721564117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39100.

The product of its digits is 82320, while the sum is 41.

The square root of 7721564117 is about 87872.4309268840. The cubic root of 7721564117 is about 1976.5224914331.

The spelling of 7721564117 in words is "seven billion, seven hundred twenty-one million, five hundred sixty-four thousand, one hundred seventeen".