7221540437280 has 768 divisors, whose sum is σ = 27548004718080. Its totient is φ = 1756289433600.

The previous prime is 7221540437257. The next prime is 7221540437303. The reversal of 7221540437280 is 827340451227.

7221540437280 is a `hidden beast` number, since 7 + 2 + 21 + 540 + 4 + 3 + 7 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (7221540437257) and next prime (7221540437303).

It is a super-2 number, since 2×7221540437280² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1773025324 + ... + 1773029396.

It is an arithmetic number, because the mean of its divisors is an integer number (35869797810).

Almost surely, 2^{7221540437280} 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 7221540437280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774002359040).

7221540437280 is an abundant number, since it is smaller than the sum of its proper divisors (20326464280800).

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

7221540437280 is a wasteful number, since it uses less digits than its factorization.

7221540437280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 7221540437280 in words is "seven trillion, two hundred twenty-one billion, five hundred forty million, four hundred thirty-seven thousand, two hundred eighty".