4743861760 has 320 divisors, whose sum is σ = 13266918720. Its totient is φ = 1610219520.

The previous prime is 4743861751. The next prime is 4743861791. The reversal of 4743861760 is 671683474.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 4743861760.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30215602 + ... + 30215758.

It is an arithmetic number, because the mean of its divisors is an integer number (41459121).

Almost surely, 2^4743861760 is an apocalyptic number.

4743861760 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 4743861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633459360).

4743861760 is an abundant number, since it is smaller than the sum of its proper divisors (8523056960).

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

4743861760 is a wasteful number, since it uses less digits than its factorization.

4743861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The square root of 4743861760 is about 68875.6978912011. The cubic root of 4743861760 is about 1680.2632996239.

The spelling of 4743861760 in words is "four billion, seven hundred forty-three million, eight hundred sixty-one thousand, seven hundred sixty".