73109940396480 has 896 divisors, whose sum is σ = 294464710901760. Its totient is φ = 16945041162240.

The previous prime is 73109940396433. The next prime is 73109940396487. The reversal of 73109940396480 is 8469304990137.

73109940396480 is a `hidden beast` number, since 7 + 3 + 1 + 0 + 99 + 403 + 9 + 64 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73109940396487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128547297 + ... + 129114783.

It is an arithmetic number, because the mean of its divisors is an integer number (328643650560).

Almost surely, 2^{73109940396480} 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 73109940396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147232355450880).

73109940396480 is an abundant number, since it is smaller than the sum of its proper divisors (221354770505280).

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

73109940396480 is a wasteful number, since it uses less digits than its factorization.

73109940396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567594 (or 567578 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 73109940396480 in words is "seventy-three trillion, one hundred nine billion, nine hundred forty million, three hundred ninety-six thousand, four hundred eighty".