7165445664 has 192 divisors, whose sum is σ = 20825247744. Its totient is φ = 2143604736.

The previous prime is 7165445659. The next prime is 7165445671. The reversal of 7165445664 is 4665445617.

It is a super-2 number, since 2×7165445664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8399862 + ... + 8400714.

It is an arithmetic number, because the mean of its divisors is an integer number (108464832).

Almost surely, 2^7165445664 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 7165445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10412623872).

7165445664 is an abundant number, since it is smaller than the sum of its proper divisors (13659802080).

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

7165445664 is a wasteful number, since it uses less digits than its factorization.

7165445664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1051 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 7165445664 is about 84648.9554808563. The cubic root of 7165445664 is about 1927.8847546226.

The spelling of 7165445664 in words is "seven billion, one hundred sixty-five million, four hundred forty-five thousand, six hundred sixty-four".