4667117664 has 96 divisors (see below), whose sum is σ = 13453896960. Its totient is φ = 1404864000.

The previous prime is 4667117641. The next prime is 4667117683.

4667117664 is nontrivially palindromic in base 10.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144822 + ... + 174090.

It is an arithmetic number, because the mean of its divisors is an integer number (140144760).

Almost surely, 2^4667117664 is an apocalyptic number.

4667117664 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 4667117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726948480).

4667117664 is an abundant number, since it is smaller than the sum of its proper divisors (8786779296).

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

4667117664 is a wasteful number, since it uses less digits than its factorization.

4667117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29444 (or 29436 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 4667117664 is about 68316.3059891268. The cubic root of 4667117664 is about 1671.1531428732.

The spelling of 4667117664 in words is "four billion, six hundred sixty-seven million, one hundred seventeen thousand, six hundred sixty-four".