7271367133968 has 360 divisors, whose sum is σ = 24448647614976. Its totient is φ = 2009455257600.

The previous prime is 7271367133913. The next prime is 7271367133991. The reversal of 7271367133968 is 8693317631727.

It is a happy number.

7271367133968 is a `hidden beast` number, since 72 + 71 + 367 + 133 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 472680805 + ... + 472696187.

Almost surely, 2^{7271367133968} 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 7271367133968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12224323807488).

7271367133968 is an abundant number, since it is smaller than the sum of its proper divisors (17177280481008).

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

7271367133968 is a wasteful number, since it uses less digits than its factorization.

7271367133968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17603 (or 17587 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The spelling of 7271367133968 in words is "seven trillion, two hundred seventy-one billion, three hundred sixty-seven million, one hundred thirty-three thousand, nine hundred sixty-eight".