37226861568 has 132 divisors (see below), whose sum is σ = 115760723988. Its totient is φ = 11454382080.

The previous prime is 37226861563. The next prime is 37226861591. The reversal of 37226861568 is 86516862273.

37226861568 is a `hidden beast` number, since 3 + 72 + 2 + 6 + 8 + 6 + 1 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10025616384 + 27201245184 = 100128^2 + 164928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37226861563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35553 + ... + 275168.

Almost surely, 2^37226861568 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 37226861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57880361994).

37226861568 is an abundant number, since it is smaller than the sum of its proper divisors (78533862420).

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

37226861568 is a wasteful number, since it uses less digits than its factorization.

37226861568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310760 (or 310739 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 37226861568 in words is "thirty-seven billion, two hundred twenty-six million, eight hundred sixty-one thousand, five hundred sixty-eight".