5972576688 has 160 divisors (see below), whose sum is σ = 18587143680. Its totient is φ = 1825286400.

The previous prime is 5972576683. The next prime is 5972576713. The reversal of 5972576688 is 8866752795.

5972576688 is a `hidden beast` number, since 59 + 7 + 2 + 576 + 6 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5972576683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844495 + ... + 851537.

It is an arithmetic number, because the mean of its divisors is an integer number (116169648).

Almost surely, 2^5972576688 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 5972576688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9293571840).

5972576688 is an abundant number, since it is smaller than the sum of its proper divisors (12614566992).

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

5972576688 is a wasteful number, since it uses less digits than its factorization.

5972576688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224 (or 7212 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The square root of 5972576688 is about 77282.4474767719. The cubic root of 5972576688 is about 1814.3479496420.

It can be divided in two parts, 5972 and 576688, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 5972576688 in words is "five billion, nine hundred seventy-two million, five hundred seventy-six thousand, six hundred eighty-eight".