7164320460 has 192 divisors, whose sum is σ = 22212417024. Its totient is φ = 1725208320.

The previous prime is 7164320459. The next prime is 7164320491. The reversal of 7164320460 is 640234617.

7164320460 = T₁₁₉₈₁ + T₁₁₉₈₂ + ... + T₁₂₀₇₉.

It is a happy number.

It is a super-2 number, since 2×7164320460² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 22600222 + ... + 22600538.

It is an arithmetic number, because the mean of its divisors is an integer number (115689672).

Almost surely, 2^7164320460 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 7164320460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11106208512).

7164320460 is an abundant number, since it is smaller than the sum of its proper divisors (15048096564).

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

7164320460 is a wasteful number, since it uses less digits than its factorization.

7164320460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 7164320460 is about 84642.3089240836. The cubic root of 7164320460 is about 1927.7838361640.

The spelling of 7164320460 in words is "seven billion, one hundred sixty-four million, three hundred twenty thousand, four hundred sixty".