73865269680000 has 320 divisors, whose sum is σ = 251803740072720. Its totient is φ = 19165040640000.

The previous prime is 73865269679969. The next prime is 73865269680001. The reversal of 73865269680000 is 8696256837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73865269680001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4720920 + ... + 13039080.

Almost surely, 2^{73865269680000} 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 73865269680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125901870036360).

73865269680000 is an abundant number, since it is smaller than the sum of its proper divisors (177938470392720).

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

73865269680000 is an equidigital number, since it uses as much as digits as its factorization.

73865269680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8318235 (or 8318208 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 73865269680000 in words is "seventy-three trillion, eight hundred sixty-five billion, two hundred sixty-nine million, six hundred eighty thousand".