73407685760 has 64 divisors (see below), whose sum is σ = 179770563000. Its totient is φ = 28646891520.

The previous prime is 73407685751. The next prime is 73407685783. The reversal of 73407685760 is 6758670437.

It can be written as a sum of positive squares in 4 ways, for example, as 61817871424 + 11589814336 = 248632^2 + 107656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1372535 + ... + 1425014.

Almost surely, 2^73407685760 is an apocalyptic number.

It is an amenable number.

73407685760 is an abundant number, since it is smaller than the sum of its proper divisors (106362877240).

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

73407685760 is a wasteful number, since it uses less digits than its factorization.

73407685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797609 (or 2797597 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 53.

The spelling of 73407685760 in words is "seventy-three billion, four hundred seven million, six hundred eighty-five thousand, seven hundred sixty".