4795323120 has 480 divisors, whose sum is σ = 19303764480. Its totient is φ = 1083663360.

The previous prime is 4795323119. The next prime is 4795323179. The reversal of 4795323120 is 213235974.

4795323120 = T₁₆₅₃₆ + T₁₆₅₃₇ + ... + T₁₆₅₇₀.

4795323120 is a `hidden beast` number, since 4 + 79 + 532 + 31 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17826346 + ... + 17826614.

It is an arithmetic number, because the mean of its divisors is an integer number (40216176).

Almost surely, 2^4795323120 is an apocalyptic number.

4795323120 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 4795323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651882240).

4795323120 is an abundant number, since it is smaller than the sum of its proper divisors (14508441360).

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

4795323120 is a wasteful number, since it uses less digits than its factorization.

4795323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4795323120 is about 69248.2716029794. The cubic root of 4795323120 is about 1686.3172868245.

The spelling of 4795323120 in words is "four billion, seven hundred ninety-five million, three hundred twenty-three thousand, one hundred twenty".