4674616164764 has 96 divisors (see below), whose sum is σ = 10296807628800. Its totient is φ = 1807810617600.

The previous prime is 4674616164763. The next prime is 4674616164767.

4674616164764 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4674616164697 and 4674616164706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4674616164763) 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, 2099597 + ... + 3709115.

It is an arithmetic number, because the mean of its divisors is an integer number (107258412800).

Almost surely, 2^{4674616164764} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4674616164764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148403814400).

4674616164764 is an abundant number, since it is smaller than the sum of its proper divisors (5622191464036).

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

4674616164764 is a wasteful number, since it uses less digits than its factorization.

4674616164764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609723 (or 1609721 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 62.

The spelling of 4674616164764 in words is "four trillion, six hundred seventy-four billion, six hundred sixteen million, one hundred sixty-four thousand, seven hundred sixty-four".