4629669264 has 160 divisors (see below), whose sum is σ = 15127603200. Its totient is φ = 1341901440.

The previous prime is 4629669251. The next prime is 4629669281.

4629669264 is a `hidden beast` number, since 4 + 629 + 6 + 6 + 9 + 2 + 6 + 4 = 666.

4629669264 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 4629669264.

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, 88117 + ... + 130475.

It is an arithmetic number, because the mean of its divisors is an integer number (94547520).

Almost surely, 2^4629669264 is an apocalyptic number.

4629669264 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 4629669264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7563801600).

4629669264 is an abundant number, since it is smaller than the sum of its proper divisors (10497933936).

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

4629669264 is a wasteful number, since it uses less digits than its factorization.

4629669264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42410 (or 42398 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 4629669264 is about 68041.6729953049. The cubic root of 4629669264 is about 1666.6714227775.

The spelling of 4629669264 in words is "four billion, six hundred twenty-nine million, six hundred sixty-nine thousand, two hundred sixty-four".