4607667064 has 128 divisors (see below), whose sum is σ = 11870369280. Its totient is φ = 1618444800.

The previous prime is 4607667041. The next prime is 4607667089.

4607667064 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337654 + ... + 351034.

It is an arithmetic number, because the mean of its divisors is an integer number (92737260).

Almost surely, 2^4607667064 is an apocalyptic number.

4607667064 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 4607667064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935184640).

4607667064 is an abundant number, since it is smaller than the sum of its proper divisors (7262702216).

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

4607667064 is a wasteful number, since it uses less digits than its factorization.

4607667064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13461 (or 13457 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The square root of 4607667064 is about 67879.7986443684. The cubic root of 4607667064 is about 1664.0269802316.

The spelling of 4607667064 in words is "four billion, six hundred seven million, six hundred sixty-seven thousand, sixty-four".