4160656500 has 768 divisors, whose sum is σ = 17329987584. Its totient is φ = 746496000.

The previous prime is 4160656457. The next prime is 4160656501. The reversal of 4160656500 is 56560614.

It is a super-2 number, since 2×4160656500² = 34622125021984500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4160656501) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25525419 + ... + 25525581.

It is an arithmetic number, because the mean of its divisors is an integer number (22565088).

Almost surely, 2^4160656500 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 4160656500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664993792).

4160656500 is an abundant number, since it is smaller than the sum of its proper divisors (13169331084).

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

4160656500 is a wasteful number, since it uses less digits than its factorization.

4160656500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 4160656500 is about 64503.1510858191. The cubic root of 4160656500 is about 1608.3749017567.

The spelling of 4160656500 in words is "four billion, one hundred sixty million, six hundred fifty-six thousand, five hundred".