5309976672 has 576 divisors, whose sum is σ = 20579360256. Its totient is φ = 1254113280.

The previous prime is 5309976629. The next prime is 5309976677. The reversal of 5309976672 is 2766799035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5309976677) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 32576463 + ... + 32576625.

It is an arithmetic number, because the mean of its divisors is an integer number (35728056).

Almost surely, 2^5309976672 is an apocalyptic number.

5309976672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5309976672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289680128).

5309976672 is an abundant number, since it is smaller than the sum of its proper divisors (15269383584).

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

5309976672 is a wasteful number, since it uses less digits than its factorization.

5309976672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 5309976672 is about 72869.5867423440. The cubic root of 5309976672 is about 1744.6067068211.

The spelling of 5309976672 in words is "five billion, three hundred nine million, nine hundred seventy-six thousand, six hundred seventy-two".