7164169920 has 336 divisors, whose sum is σ = 26313981408. Its totient is φ = 1782743040.

The previous prime is 7164169919. The next prime is 7164169939. The reversal of 7164169920 is 299614617.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6413202 + ... + 6414318.

Almost surely, 2^7164169920 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 7164169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13156990704).

7164169920 is an abundant number, since it is smaller than the sum of its proper divisors (19149811488).

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

7164169920 is a wasteful number, since it uses less digits than its factorization.

7164169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7164169920 is about 84641.4196478296. The cubic root of 7164169920 is about 1927.7703335756.

The spelling of 7164169920 in words is "seven billion, one hundred sixty-four million, one hundred sixty-nine thousand, nine hundred twenty".