4577084064 has 384 divisors, whose sum is σ = 15792537600. Its totient is φ = 1262822400.

The previous prime is 4577084041. The next prime is 4577084129. The reversal of 4577084064 is 4604807754.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36039969 + ... + 36040095.

It is an arithmetic number, because the mean of its divisors is an integer number (41126400).

Almost surely, 2^4577084064 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 4577084064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896268800).

4577084064 is an abundant number, since it is smaller than the sum of its proper divisors (11215453536).

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

4577084064 is a wasteful number, since it uses less digits than its factorization.

4577084064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4577084064 is about 67654.1503826631. The cubic root of 4577084064 is about 1660.3371918691.

The spelling of 4577084064 in words is "four billion, five hundred seventy-seven million, eighty-four thousand, sixty-four".