4715259120 has 480 divisors, whose sum is σ = 19074654144. Its totient is φ = 1028505600.

The previous prime is 4715259097. The next prime is 4715259149. The reversal of 4715259120 is 219525174.

4715259120 is a `hidden beast` number, since 4 + 7 + 1 + 525 + 9 + 120 = 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4220802 + ... + 4221918.

Almost surely, 2^4715259120 is an apocalyptic number.

4715259120 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 4715259120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9537327072).

4715259120 is an abundant number, since it is smaller than the sum of its proper divisors (14359395024).

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

4715259120 is a wasteful number, since it uses less digits than its factorization.

4715259120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 4715259120 is about 68667.7443928370. The cubic root of 4715259120 is about 1676.8794965485.

The spelling of 4715259120 in words is "four billion, seven hundred fifteen million, two hundred fifty-nine thousand, one hundred twenty".