7271148066 has 128 divisors (see below), whose sum is σ = 18556231680. Its totient is φ = 1848413952.

The previous prime is 7271148043. The next prime is 7271148067. The reversal of 7271148066 is 6608411727.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7271148067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1717240 + ... + 1721468.

It is an arithmetic number, because the mean of its divisors is an integer number (144970560).

Almost surely, 2^7271148066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7271148066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9278115840).

7271148066 is an abundant number, since it is smaller than the sum of its proper divisors (11285083614).

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

7271148066 is a wasteful number, since it uses less digits than its factorization.

7271148066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368.

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 7271148066 is about 85271.0271194150. The cubic root of 7271148066 is about 1937.3183682998.

The spelling of 7271148066 in words is "seven billion, two hundred seventy-one million, one hundred forty-eight thousand, sixty-six".