75734724604900 has 243 divisors, whose sum is σ = 175143214669563. Its totient is φ = 28421897414400.

The previous prime is 75734724604883. The next prime is 75734724604907. The reversal of 75734724604900 is 940642743757.

The square root of 75734724604900 is 8702570.

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

It can be written as a sum of positive squares in 4 ways, for example, as 107769071524 + 75626955533376 = 328282^2 + 8696376^2 .

It is a super-2 number, since 2×75734724604900² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75734724604907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 269518592760 + ... + 269518593040.

Almost surely, 2^{75734724604900} is an apocalyptic number.

75734724604900 is the 8702570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75734724604900

75734724604900 is an abundant number, since it is smaller than the sum of its proper divisors (99408490064663).

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

75734724604900 is a wasteful number, since it uses less digits than its factorization.

75734724604900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 58.

The spelling of 75734724604900 in words is "seventy-five trillion, seven hundred thirty-four billion, seven hundred twenty-four million, six hundred four thousand, nine hundred".