37225746558 has 480 divisors, whose sum is σ = 115823252160. Its totient is φ = 8690457600.

The previous prime is 37225746539. The next prime is 37225746559. The reversal of 37225746558 is 85564752273.

37225746558 is a `hidden beast` number, since 3 + 7 + 2 + 2 + 574 + 65 + 5 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37225746559) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 73134808 + ... + 73135316.

It is an arithmetic number, because the mean of its divisors is an integer number (241298442).

Almost surely, 2^37225746558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37225746558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57911626080).

37225746558 is an abundant number, since it is smaller than the sum of its proper divisors (78597505602).

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

37225746558 is a wasteful number, since it uses less digits than its factorization.

37225746558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 586 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 37225746558 in words is "thirty-seven billion, two hundred twenty-five million, seven hundred forty-six thousand, five hundred fifty-eight".