4607777064 has 128 divisors (see below), whose sum is σ = 12901939200. Its totient is φ = 1359536640.

The previous prime is 4607777063. The next prime is 4607777071.

4607777064 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4607777063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1572769 + ... + 1575695.

It is an arithmetic number, because the mean of its divisors is an integer number (100796400).

Almost surely, 2^4607777064 is an apocalyptic number.

4607777064 is a gapful number since it is divisible by the number (44) 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 4607777064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450969600).

4607777064 is an abundant number, since it is smaller than the sum of its proper divisors (8294162136).

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

4607777064 is a wasteful number, since it uses less digits than its factorization.

4607777064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 48.

The square root of 4607777064 is about 67880.6088953244. The cubic root of 4607777064 is about 1664.0402220384.

The spelling of 4607777064 in words is "four billion, six hundred seven million, seven hundred seventy-seven thousand, sixty-four".