7221190348800 has 624 divisors, whose sum is σ = 26564930628480. Its totient is φ = 1922967797760.

The previous prime is 7221190348787. The next prime is 7221190348829. The reversal of 7221190348800 is 88430911227.

It is a happy number.

7221190348800 is a `hidden beast` number, since 7 + 2 + 211 + 90 + 348 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×7221190348800² (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 a congruent number.

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, 2717797072 + ... + 2717799728.

Almost surely, 2^{7221190348800} 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 7221190348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13282465314240).

7221190348800 is an abundant number, since it is smaller than the sum of its proper divisors (19343740279680).

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

7221190348800 is a wasteful number, since it uses less digits than its factorization.

7221190348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 7221190348800 in words is "seven trillion, two hundred twenty-one billion, one hundred ninety million, three hundred forty-eight thousand, eight hundred".