7221206361600 has 2160 divisors, whose sum is σ = 34729006259376. Its totient is φ = 1412038656000.

The previous prime is 7221206361571. The next prime is 7221206361613. The reversal of 7221206361600 is 61636021227.

7221206361600 is a `hidden beast` number, since 7 + 2 + 2 + 1 + 2 + 0 + 636 + 16 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1055574180 + ... + 1055581020.

Almost surely, 2^{7221206361600} is an apocalyptic number.

7221206361600 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 7221206361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364503129688).

7221206361600 is an abundant number, since it is smaller than the sum of its proper divisors (27507799897776).

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

7221206361600 is a wasteful number, since it uses less digits than its factorization.

7221206361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 7221206361600 in words is "seven trillion, two hundred twenty-one billion, two hundred six million, three hundred sixty-one thousand, six hundred".