7271538718080 has 1536 divisors, whose sum is σ = 29686071905280. Its totient is φ = 1481401958400.

The previous prime is 7271538718079. The next prime is 7271538718097. The reversal of 7271538718080 is 808178351727.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7271538718080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10523210535 + ... + 10523211225.

It is an arithmetic number, because the mean of its divisors is an integer number (19326869730).

Almost surely, 2^{7271538718080} is an apocalyptic number.

7271538718080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7271538718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843035952640).

7271538718080 is an abundant number, since it is smaller than the sum of its proper divisors (22414533187200).

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

7271538718080 is a wasteful number, since it uses less digits than its factorization.

7271538718080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 57.

The spelling of 7271538718080 in words is "seven trillion, two hundred seventy-one billion, five hundred thirty-eight million, seven hundred eighteen thousand, eighty".