5976979680 has 192 divisors, whose sum is σ = 22783057920. Its totient is φ = 1285791744.

The previous prime is 5976979643. The next prime is 5976979691. The reversal of 5976979680 is 869796795.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4801 + ... + 109439.

It is an arithmetic number, because the mean of its divisors is an integer number (118661760).

Almost surely, 2^5976979680 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 5976979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11391528960).

5976979680 is an abundant number, since it is smaller than the sum of its proper divisors (16806078240).

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

5976979680 is a wasteful number, since it uses less digits than its factorization.

5976979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104681 (or 104673 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 66.

The square root of 5976979680 is about 77310.9285935695. The cubic root of 5976979680 is about 1814.7936867540.

The spelling of 5976979680 in words is "five billion, nine hundred seventy-six million, nine hundred seventy-nine thousand, six hundred eighty".