74441665600 has 189 divisors, whose sum is σ = 193861112277. Its totient is φ = 28130895360.

The previous prime is 74441665579. The next prime is 74441665651. The reversal of 74441665600 is 656614447.

The square root of 74441665600 is 272840.

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

It can be written as a sum of positive squares in only one way, i.e., 26798999616 + 47642665984 = 163704^2 + 218272^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 207358221 + ... + 207358579.

Almost surely, 2^74441665600 is an apocalyptic number.

74441665600 is the 272840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74441665600

74441665600 is an abundant number, since it is smaller than the sum of its proper divisors (119419446677).

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

74441665600 is an equidigital number, since it uses as much as digits as its factorization.

74441665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 74441665600 in words is "seventy-four billion, four hundred forty-one million, six hundred sixty-five thousand, six hundred".