7573812227136 has 567 divisors, whose sum is σ = 23464690242357. Its totient is φ = 2425331911680.

The previous prime is 7573812227081. The next prime is 7573812227161. The reversal of 7573812227136 is 6317222183757.

The square root of 7573812227136 is 2752056.

It is a perfect power (a square), and thus also a powerful number.

7573812227136 is a `hidden beast` number, since 7 + 5 + 7 + 381 + 2 + 227 + 1 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4448893377600 + 3124918849536 = 2109240^2 + 1767744^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 80 ways as a sum of consecutive naturals, for example, 55283300860 + ... + 55283300996.

Almost surely, 2^{7573812227136} is an apocalyptic number.

7573812227136 is the 2752056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7573812227136

7573812227136 is an abundant number, since it is smaller than the sum of its proper divisors (15890878015221).

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

7573812227136 is an frugal number, since it uses more digits than its factorization.

7573812227136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 173 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 7573812227136 in words is "seven trillion, five hundred seventy-three billion, eight hundred twelve million, two hundred twenty-seven thousand, one hundred thirty-six".