5973662607360 has 768 divisors, whose sum is σ = 23162196395520. Its totient is φ = 1283079536640.

The previous prime is 5973662607181. The next prime is 5973662607421. The reversal of 5973662607360 is 637062663795.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 5973662607294 and 5973662607303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4522075500 + ... + 4522076820.

It is an arithmetic number, because the mean of its divisors is an integer number (30159109890).

Almost surely, 2^{5973662607360} 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 5973662607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11581098197760).

5973662607360 is an abundant number, since it is smaller than the sum of its proper divisors (17188533788160).

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

5973662607360 is a wasteful number, since it uses less digits than its factorization.

5973662607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 60.

The spelling of 5973662607360 in words is "five trillion, nine hundred seventy-three billion, six hundred sixty-two million, six hundred seven thousand, three hundred sixty".