720189849600 has 1377 divisors, whose sum is σ = 2967571039953. Its totient is φ = 166849413120.

The previous prime is 720189849593. The next prime is 720189849601. The reversal of 720189849600 is 6948981027.

The square root of 720189849600 is 848640.

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

720189849600 is a `hidden beast` number, since 7 + 20 + 1 + 8 + 9 + 8 + 4 + 9 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 524500402176 + 195689447424 = 724224^2 + 442368^2 .

It is not an unprimeable number, because it can be changed into a prime (720189849601) 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, 42364108792 + ... + 42364108808.

Almost surely, 2^720189849600 is an apocalyptic number.

720189849600 is the 848640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720189849600

720189849600 is an abundant number, since it is smaller than the sum of its proper divisors (2247381190353).

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

720189849600 is a wasteful number, since it uses less digits than its factorization.

720189849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 720189849600 in words is "seven hundred twenty billion, one hundred eighty-nine million, eight hundred forty-nine thousand, six hundred".