73261100239968 has 384 divisors, whose sum is σ = 207232186613760. Its totient is φ = 22579170508800.

The previous prime is 73261100239961. The next prime is 73261100239981. The reversal of 73261100239968 is 86993200116237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73261100239961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60198109696 + ... + 60198110912.

It is an arithmetic number, because the mean of its divisors is an integer number (539667152640).

Almost surely, 2^{73261100239968} 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 73261100239968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103616093306880).

73261100239968 is an abundant number, since it is smaller than the sum of its proper divisors (133971086373792).

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

73261100239968 is a wasteful number, since it uses less digits than its factorization.

73261100239968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 73261100239968 in words is "seventy-three trillion, two hundred sixty-one billion, one hundred million, two hundred thirty-nine thousand, nine hundred sixty-eight".