4748613120 has 640 divisors, whose sum is σ = 18384537600. Its totient is φ = 1158119424.

The previous prime is 4748613113. The next prime is 4748613127. The reversal of 4748613120 is 213168474.

4748613120 is a `hidden beast` number, since 47 + 486 + 13 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (4748613113) and next prime (4748613127).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4748613120² = 45098653126872268800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4748613127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46102989 + ... + 46103091.

It is an arithmetic number, because the mean of its divisors is an integer number (28725840).

Almost surely, 2^4748613120 is an apocalyptic number.

4748613120 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 4748613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192268800).

4748613120 is an abundant number, since it is smaller than the sum of its proper divisors (13635924480).

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

4748613120 is a wasteful number, since it uses less digits than its factorization.

4748613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4748613120 is about 68910.1815409015. The cubic root of 4748613120 is about 1680.8240854936.

It can be divided in two parts, 47486 and 13120, that added together give a palindrome (60606).

The spelling of 4748613120 in words is "four billion, seven hundred forty-eight million, six hundred thirteen thousand, one hundred twenty".