4691164000 has 96 divisors (see below), whose sum is σ = 11771899776. Its totient is φ = 1836467200.

The previous prime is 4691163989. The next prime is 4691164003. The reversal of 4691164000 is 4611964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4691164003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175524 + ... + 200476.

It is an arithmetic number, because the mean of its divisors is an integer number (122623956).

Almost surely, 2^4691164000 is an apocalyptic number.

4691164000 is a gapful number since it is divisible by the number (40) 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 4691164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885949888).

4691164000 is an abundant number, since it is smaller than the sum of its proper divisors (7080735776).

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

4691164000 is a wasteful number, since it uses less digits than its factorization.

4691164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25025 (or 25007 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 4691164000 is about 68492.0725339802. The cubic root of 4691164000 is about 1674.0183153878.

Adding to 4691164000 its reverse (4611964), we get a palindrome (4695775964).

The spelling of 4691164000 in words is "four billion, six hundred ninety-one million, one hundred sixty-four thousand".