4775189760 has 720 divisors, whose sum is σ = 19231914240. Its totient is φ = 1121402880.

The previous prime is 4775189747. The next prime is 4775189773. The reversal of 4775189760 is 679815774.

It is an interprime number because it is at equal distance from previous prime (4775189747) and next prime (4775189773).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4775189697 and 4775189706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60445401 + ... + 60445479.

It is an arithmetic number, because the mean of its divisors is an integer number (26710992).

Almost surely, 2^4775189760 is an apocalyptic number.

4775189760 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 4775189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9615957120).

4775189760 is an abundant number, since it is smaller than the sum of its proper divisors (14456724480).

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

4775189760 is a wasteful number, since it uses less digits than its factorization.

4775189760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 4775189760 is about 69102.7478469561. The cubic root of 4775189760 is about 1683.9539522091.

The spelling of 4775189760 in words is "four billion, seven hundred seventy-five million, one hundred eighty-nine thousand, seven hundred sixty".