7541222215680 has 624 divisors, whose sum is σ = 26902103641920. Its totient is φ = 1952569884672.

The previous prime is 7541222215663. The next prime is 7541222215699. The reversal of 7541222215680 is 865122221457.

7541222215680 is a `hidden beast` number, since 7 + 5 + 41 + 2 + 22 + 21 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4657949911 + ... + 4657951529.

It is an arithmetic number, because the mean of its divisors is an integer number (43112345580).

Almost surely, 2^{7541222215680} 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 7541222215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13451051820960).

7541222215680 is an abundant number, since it is smaller than the sum of its proper divisors (19360881426240).

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

7541222215680 is a wasteful number, since it uses less digits than its factorization.

7541222215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 7541222215680 in words is "seven trillion, five hundred forty-one billion, two hundred twenty-two million, two hundred fifteen thousand, six hundred eighty".