73566642540700 has 72 divisors (see below), whose sum is σ = 161734596934400. Its totient is φ = 29040827175360.

The previous prime is 73566642540683. The next prime is 73566642540733. The reversal of 73566642540700 is 704524666537.

It is a happy number.

It is a super-2 number, since 2×73566642540700² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15077287 + ... + 19350913.

Almost surely, 2^{73566642540700} 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 73566642540700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80867298467200).

73566642540700 is an abundant number, since it is smaller than the sum of its proper divisors (88167954393700).

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

73566642540700 is a wasteful number, since it uses less digits than its factorization.

73566642540700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275899 (or 4275892 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 55.

The spelling of 73566642540700 in words is "seventy-three trillion, five hundred sixty-six billion, six hundred forty-two million, five hundred forty thousand, seven hundred".