4765340160 has 800 divisors, whose sum is σ = 20201385600. Its totient is φ = 1072963584.

The previous prime is 4765340147. The next prime is 4765340161. The reversal of 4765340160 is 610435674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4765340161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71124447 + ... + 71124513.

It is an arithmetic number, because the mean of its divisors is an integer number (25251732).

Almost surely, 2^4765340160 is an apocalyptic number.

4765340160 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 4765340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100692800).

4765340160 is an abundant number, since it is smaller than the sum of its proper divisors (15436045440).

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

4765340160 is an frugal number, since it uses more digits than its factorization.

4765340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4765340160 is about 69031.4432704402. The cubic root of 4765340160 is about 1682.7953462532.

The spelling of 4765340160 in words is "four billion, seven hundred sixty-five million, three hundred forty thousand, one hundred sixty".