4346664672 has 96 divisors (see below), whose sum is σ = 13174624512. Its totient is φ = 1229082624.

The previous prime is 4346664643. The next prime is 4346664689. The reversal of 4346664672 is 2764666434.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31843 + ... + 98525.

It is an arithmetic number, because the mean of its divisors is an integer number (137235672).

Almost surely, 2^4346664672 is an apocalyptic number.

4346664672 is a gapful number since it is divisible by the number (42) 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 4346664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587312256).

4346664672 is an abundant number, since it is smaller than the sum of its proper divisors (8827959840).

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

4346664672 is a wasteful number, since it uses less digits than its factorization.

4346664672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66800 (or 66792 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 48.

The square root of 4346664672 is about 65929.2398864116. The cubic root of 4346664672 is about 1631.9945813930.

The spelling of 4346664672 in words is "four billion, three hundred forty-six million, six hundred sixty-four thousand, six hundred seventy-two".