5576643072 has 960 divisors, whose sum is σ = 23004241920. Its totient is φ = 1293926400.

The previous prime is 5576643047. The next prime is 5576643077. The reversal of 5576643072 is 2703466755.

5576643072 is a `hidden beast` number, since 5 + 576 + 6 + 4 + 3 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5576643077) 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 95 ways as a sum of consecutive naturals, for example, 179891697 + ... + 179891727.

It is an arithmetic number, because the mean of its divisors is an integer number (23962752).

Almost surely, 2^5576643072 is an apocalyptic number.

5576643072 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 5576643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11502120960).

5576643072 is an abundant number, since it is smaller than the sum of its proper divisors (17427598848).

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

5576643072 is a wasteful number, since it uses less digits than its factorization.

5576643072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 5576643072 is about 74676.9246286964. The cubic root of 5576643072 is about 1773.3356689940.

The spelling of 5576643072 in words is "five billion, five hundred seventy-six million, six hundred forty-three thousand, seventy-two".