4667447664 has 160 divisors (see below), whose sum is σ = 14801433600. Its totient is φ = 1396362240.

The previous prime is 4667447663. The next prime is 4667447669.

4667447664 is a `hidden beast` number, since 46 + 6 + 74 + 476 + 64 = 666.

4667447664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4667447664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4667447663) 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, 369192 + ... + 381624.

It is an arithmetic number, because the mean of its divisors is an integer number (92508960).

Almost surely, 2^4667447664 is an apocalyptic number.

4667447664 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 4667447664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400716800).

4667447664 is an abundant number, since it is smaller than the sum of its proper divisors (10133985936).

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

4667447664 is a wasteful number, since it uses less digits than its factorization.

4667447664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12540 (or 12528 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The square root of 4667447664 is about 68318.7211824109. The cubic root of 4667447664 is about 1671.1925296053.

The spelling of 4667447664 in words is "four billion, six hundred sixty-seven million, four hundred forty-seven thousand, six hundred sixty-four".