73853497600 has 243 divisors, whose sum is σ = 189547909173. Its totient is φ = 28489144320.

The previous prime is 73853497577. The next prime is 73853497609. The reversal of 73853497600 is 679435837.

It is a happy number.

The square root of 73853497600 is 271760.

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., 26587259136 + 47266238464 = 163056^2 + 217408^2 .

It is not an unprimeable number, because it can be changed into a prime (73853497609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 934854361 + ... + 934854439.

Almost surely, 2^73853497600 is an apocalyptic number.

73853497600 is the 271760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73853497600

73853497600 is an abundant number, since it is smaller than the sum of its proper divisors (115694411573).

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

73853497600 is an frugal number, since it uses more digits than its factorization.

73853497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 73853497600 in words is "seventy-three billion, eight hundred fifty-three million, four hundred ninety-seven thousand, six hundred".