73091280080400 has 480 divisors, whose sum is σ = 248219181527040. Its totient is φ = 18358920960000.

The previous prime is 73091280080359. The next prime is 73091280080407. The reversal of 73091280080400 is 408008219037.

It is not an unprimeable number, because it can be changed into a prime (73091280080407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221509939 + ... + 221839661.

It is an arithmetic number, because the mean of its divisors is an integer number (517123294848).

Almost surely, 2^{73091280080400} 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 73091280080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124109590763520).

73091280080400 is an abundant number, since it is smaller than the sum of its proper divisors (175127901446640).

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

73091280080400 is a wasteful number, since it uses less digits than its factorization.

73091280080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329935 (or 329924 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

Adding to 73091280080400 its reverse (408008219037), we get a palindrome (73499288299437).

The spelling of 73091280080400 in words is "seventy-three trillion, ninety-one billion, two hundred eighty million, eighty thousand, four hundred".