73540743848100 has 243 divisors, whose sum is σ = 238756286796937. Its totient is φ = 18932707368960.

The previous prime is 73540743848063. The next prime is 73540743848123. The reversal of 73540743848100 is 184834704537.

The square root of 73540743848100 is 8575590.

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

73540743848100 is a `hidden beast` number, since 7 + 3 + 540 + 7 + 4 + 3 + 84 + 8 + 10 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 54424820873124 + 19115922974976 = 7377318^2 + 4372176^2 .

It is a super-2 number, since 2×73540743848100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7460758372 + ... + 7460768228.

Almost surely, 2^{73540743848100} is an apocalyptic number.

73540743848100 is the 8575590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73540743848100

73540743848100 is an abundant number, since it is smaller than the sum of its proper divisors (165215542948837).

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

73540743848100 is an equidigital number, since it uses as much as digits as its factorization.

73540743848100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19792 (or 9896 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 73540743848100 in words is "seventy-three trillion, five hundred forty billion, seven hundred forty-three million, eight hundred forty-eight thousand, one hundred".