5972954064 has 160 divisors (see below), whose sum is σ = 19354761216. Its totient is φ = 1541967360.

The previous prime is 5972954033. The next prime is 5972954069. The reversal of 5972954064 is 4604592795.

It is a junction number, because it is equal to n+sod(n) for n = 5972953998 and 5972954016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5972954069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612394 + ... + 622070.

Almost surely, 2^5972954064 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 5972954064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9677380608).

5972954064 is an abundant number, since it is smaller than the sum of its proper divisors (13381807152).

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

5972954064 is a wasteful number, since it uses less digits than its factorization.

5972954064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9873 (or 9867 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 5972954064 is about 77284.8889757888. Note that the first 3 decimals coincide. The cubic root of 5972954064 is about 1814.3861619016.

The spelling of 5972954064 in words is "five billion, nine hundred seventy-two million, nine hundred fifty-four thousand, sixty-four".