74329400102500 has 135 divisors (see below), whose sum is σ = 163404950780071. Its totient is φ = 29575022080000.

The previous prime is 74329400102471. The next prime is 74329400102563. The reversal of 74329400102500 is 520100492347.

The square root of 74329400102500 is 8621450.

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

It can be written as a sum of positive squares in 22 ways, for example, as 65983356444196 + 8346043658304 = 8123014^2 + 2888952^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 74329400102500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 115958502180 + ... + 115958502820.

Almost surely, 2^{74329400102500} is an apocalyptic number.

74329400102500 is the 8621450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74329400102500

74329400102500 is an abundant number, since it is smaller than the sum of its proper divisors (89075550677571).

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

74329400102500 is an frugal number, since it uses more digits than its factorization.

74329400102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 74329400102500 its reverse (520100492347), we get a palindrome (74849500594847).

The spelling of 74329400102500 in words is "seventy-four trillion, three hundred twenty-nine billion, four hundred million, one hundred two thousand, five hundred".