73680827724 has 72 divisors (see below), whose sum is σ = 212885251488. Its totient is φ = 21048744960.

The previous prime is 73680827723. The next prime is 73680827743. The reversal of 73680827724 is 42772808637.

73680827724 is a `hidden beast` number, since 7 + 368 + 0 + 8 + 277 + 2 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (73680827723) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2347414 + ... + 2378594.

It is an arithmetic number, because the mean of its divisors is an integer number (2956739604).

Almost surely, 2^73680827724 is an apocalyptic number.

It is an amenable number.

73680827724 is an abundant number, since it is smaller than the sum of its proper divisors (139204423764).

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

73680827724 is a wasteful number, since it uses less digits than its factorization.

73680827724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40575 (or 40570 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 73680827724 in words is "seventy-three billion, six hundred eighty million, eight hundred twenty-seven thousand, seven hundred twenty-four".