73768344322500 has 135 divisors (see below), whose sum is σ = 233016958385211. Its totient is φ = 19671214932000.

The previous prime is 73768344322411. The next prime is 73768344322537. The reversal of 73768344322500 is 522344386737.

The square root of 73768344322500 is 8588850.

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

73768344322500 is a `hidden beast` number, since 7 + 3 + 7 + 68 + 3 + 44 + 32 + 2 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5783438194884 + 67984906127616 = 2404878^2 + 8245296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1288298871 + ... + 1288356129.

Almost surely, 2^{73768344322500} is an apocalyptic number.

73768344322500 is the 8588850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73768344322500

73768344322500 is an abundant number, since it is smaller than the sum of its proper divisors (159248614062711).

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

73768344322500 is an frugal number, since it uses more digits than its factorization.

73768344322500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114548 (or 57269 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 73768344322500 in words is "seventy-three trillion, seven hundred sixty-eight billion, three hundred forty-four million, three hundred twenty-two thousand, five hundred".