4667261171328 has 768 divisors, whose sum is σ = 16893228119040. Its totient is φ = 1252142530560.

The previous prime is 4667261171327. The next prime is 4667261171383. The reversal of 4667261171328 is 8231711627664.

4667261171328 is a `hidden beast` number, since 4 + 6 + 6 + 7 + 2 + 611 + 7 + 13 + 2 + 8 = 666.

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 not an unprimeable number, because it can be changed into a prime (4667261171327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1935818443 + ... + 1935820853.

It is an arithmetic number, because the mean of its divisors is an integer number (21996390780).

Almost surely, 2^{4667261171328} is an apocalyptic number.

4667261171328 is a gapful number since it is divisible by the number (48) 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 4667261171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446614059520).

4667261171328 is an abundant number, since it is smaller than the sum of its proper divisors (12225966947712).

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

4667261171328 is a wasteful number, since it uses less digits than its factorization.

4667261171328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2963 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 4667261171328 in words is "four trillion, six hundred sixty-seven billion, two hundred sixty-one million, one hundred seventy-one thousand, three hundred twenty-eight".