7164668160 has 576 divisors, whose sum is σ = 28185615360. Its totient is φ = 1711964160.

The previous prime is 7164668111. The next prime is 7164668171. The reversal of 7164668160 is 618664617.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 16623145 + ... + 16623575.

It is an arithmetic number, because the mean of its divisors is an integer number (48933360).

Almost surely, 2^7164668160 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 7164668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092807680).

7164668160 is an abundant number, since it is smaller than the sum of its proper divisors (21020947200).

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

7164668160 is a wasteful number, since it uses less digits than its factorization.

7164668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7164668160 is about 84644.3628365174. The cubic root of 7164668160 is about 1927.8150221688.

The spelling of 7164668160 in words is "seven billion, one hundred sixty-four million, six hundred sixty-eight thousand, one hundred sixty".