4718813760 has 280 divisors, whose sum is σ = 17774701560. Its totient is φ = 1184219136.

The previous prime is 4718813753. The next prime is 4718813767. The reversal of 4718813760 is 673188174.

It is an interprime number because it is at equal distance from previous prime (4718813753) and next prime (4718813767).

It can be written as a sum of positive squares in 4 ways, for example, as 2264998464 + 2453815296 = 47592^2 + 49536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4718813767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 435286 + ... + 445994.

It is an arithmetic number, because the mean of its divisors is an integer number (63481077).

Almost surely, 2^4718813760 is an apocalyptic number.

4718813760 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 4718813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8887350780).

4718813760 is an abundant number, since it is smaller than the sum of its proper divisors (13055887800).

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

4718813760 is a wasteful number, since it uses less digits than its factorization.

4718813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755 (or 10736 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 4718813760 is about 68693.6224114000. The cubic root of 4718813760 is about 1677.3007675445.

The spelling of 4718813760 in words is "four billion, seven hundred eighteen million, eight hundred thirteen thousand, seven hundred sixty".