4647667464 has 64 divisors (see below), whose sum is σ = 14083848000. Its totient is φ = 1408383360.

The previous prime is 4647667447. The next prime is 4647667471.

4647667464 is a `hidden beast` number, since 46 + 476 + 6 + 74 + 64 = 666.

4647667464 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 4647667464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975669 + ... + 980420.

It is an arithmetic number, because the mean of its divisors is an integer number (220060125).

Almost surely, 2^4647667464 is an apocalyptic number.

4647667464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4647667464 is an abundant number, since it is smaller than the sum of its proper divisors (9436180536).

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

4647667464 is a wasteful number, since it uses less digits than its factorization.

4647667464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956115 (or 1956105 counting only the distinct ones).

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

The square root of 4647667464 is about 68173.8033558346. The cubic root of 4647667464 is about 1668.8284017198.

The spelling of 4647667464 in words is "four billion, six hundred forty-seven million, six hundred sixty-seven thousand, four hundred sixty-four".