7271493576960 has 288 divisors, whose sum is σ = 23623525094400. Its totient is φ = 1905782022144.

The previous prime is 7271493576911. The next prime is 7271493576989. The reversal of 7271493576960 is 696753941727.

It is a junction number, because it is equal to n+sod(n) for n = 7271493576891 and 7271493576900.

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 31 ways as a sum of consecutive naturals, for example, 113943141 + ... + 114006939.

It is an arithmetic number, because the mean of its divisors is an integer number (82026128800).

Almost surely, 2^{7271493576960} 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 7271493576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11811762547200).

7271493576960 is an abundant number, since it is smaller than the sum of its proper divisors (16352031517440).

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

7271493576960 is a wasteful number, since it uses less digits than its factorization.

7271493576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64333 (or 64319 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 66.

The spelling of 7271493576960 in words is "seven trillion, two hundred seventy-one billion, four hundred ninety-three million, five hundred seventy-six thousand, nine hundred sixty".