4611480576 has 264 divisors, whose sum is σ = 13543607040. Its totient is φ = 1390510080.

The previous prime is 4611480539. The next prime is 4611480583. The reversal of 4611480576 is 6750841164.

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 23 ways as a sum of consecutive naturals, for example, 98116585 + ... + 98116631.

Almost surely, 2^4611480576 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 4611480576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771803520).

4611480576 is an abundant number, since it is smaller than the sum of its proper divisors (8932126464).

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

4611480576 is a wasteful number, since it uses less digits than its factorization.

4611480576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 4611480576 is about 67907.8830181003. The cubic root of 4611480576 is about 1664.4859281032.

The spelling of 4611480576 in words is "four billion, six hundred eleven million, four hundred eighty thousand, five hundred seventy-six".