4674664764 has 96 divisors (see below), whose sum is σ = 15110054400. Its totient is φ = 1214196480.

The previous prime is 4674664741. The next prime is 4674664769.

4674664764 is a `hidden beast` number, since 46 + 74 + 66 + 476 + 4 = 666.

4674664764 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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4674664764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4674664769) 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, 272749 + ... + 289380.

It is an arithmetic number, because the mean of its divisors is an integer number (157396400).

Almost surely, 2^4674664764 is an apocalyptic number.

4674664764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4674664764 is an abundant number, since it is smaller than the sum of its proper divisors (10435389636).

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

4674664764 is a wasteful number, since it uses less digits than its factorization.

4674664764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562160 (or 562152 counting only the distinct ones).

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

The square root of 4674664764 is about 68371.5201235134. The cubic root of 4674664764 is about 1672.0534535500.

The spelling of 4674664764 in words is "four billion, six hundred seventy-four million, six hundred sixty-four thousand, seven hundred sixty-four".