7271506566 has 80 divisors (see below), whose sum is σ = 16657344000. Its totient is φ = 2370159792.

The previous prime is 7271506547. The next prime is 7271506609. The reversal of 7271506566 is 6656051727.

7271506566 is a `hidden beast` number, since 72 + 7 + 15 + 0 + 6 + 566 = 666.

It is a super-2 number, since 2×7271506566² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1900131 + ... + 1903953.

It is an arithmetic number, because the mean of its divisors is an integer number (208216800).

Almost surely, 2^7271506566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7271506566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328672000).

7271506566 is an abundant number, since it is smaller than the sum of its proper divisors (9385837434).

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

7271506566 is a wasteful number, since it uses less digits than its factorization.

7271506566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 7271506566 is about 85273.1292143076. The cubic root of 7271506566 is about 1937.3502072526.

The spelling of 7271506566 in words is "seven billion, two hundred seventy-one million, five hundred six thousand, five hundred sixty-six".