73945749609600 has 1152 divisors, whose sum is σ = 290896714752000. Its totient is φ = 16434772992000.

The previous prime is 73945749609551. The next prime is 73945749609623. The reversal of 73945749609600 is 690694754937.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 684128361 + ... + 684236439.

Almost surely, 2^{73945749609600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73945749609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145448357376000).

73945749609600 is an abundant number, since it is smaller than the sum of its proper divisors (216950965142400).

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

73945749609600 is a wasteful number, since it uses less digits than its factorization.

73945749609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108178 (or 108150 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 69.

The spelling of 73945749609600 in words is "seventy-three trillion, nine hundred forty-five billion, seven hundred forty-nine million, six hundred nine thousand, six hundred".