7217256655440 has 480 divisors, whose sum is σ = 26243175329280. Its totient is φ = 1767001190400.

The previous prime is 7217256655439. The next prime is 7217256655487. The reversal of 7217256655440 is 445566527127.

7217256655440 is a `hidden beast` number, since 7 + 2 + 1 + 7 + 25 + 66 + 554 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1481676205 + ... + 1481681075.

It is an arithmetic number, because the mean of its divisors is an integer number (54673281936).

Almost surely, 2^{7217256655440} 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 7217256655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13121587664640).

7217256655440 is an abundant number, since it is smaller than the sum of its proper divisors (19025918673840).

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

7217256655440 is a wasteful number, since it uses less digits than its factorization.

7217256655440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5714 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 7217256655440 in words is "seven trillion, two hundred seventeen billion, two hundred fifty-six million, six hundred fifty-five thousand, four hundred forty".