7693577164 has 96 divisors (see below), whose sum is σ = 16926748160. Its totient is φ = 2978892288.

The previous prime is 7693577159. The next prime is 7693577189. The reversal of 7693577164 is 4617753967.

It is a super-2 number, since 2×7693577164² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3692467 + ... + 3694549.

Almost surely, 2^7693577164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7693577164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463374080).

7693577164 is an abundant number, since it is smaller than the sum of its proper divisors (9233170996).

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

7693577164 is a wasteful number, since it uses less digits than its factorization.

7693577164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2317 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 55.

The square root of 7693577164 is about 87713.0387342726. The cubic root of 7693577164 is about 1974.1316196511.

The spelling of 7693577164 in words is "seven billion, six hundred ninety-three million, five hundred seventy-seven thousand, one hundred sixty-four".