4743870727680 has 1440 divisors, whose sum is σ = 20865224540160. Its totient is φ = 1027118776320.

The previous prime is 4743870727619. The next prime is 4743870727723. The reversal of 4743870727680 is 867270783474.

4743870727680 is a `hidden beast` number, since 4 + 7 + 438 + 70 + 72 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 579152385 + ... + 579160575.

It is an arithmetic number, because the mean of its divisors is an integer number (14489739264).

Almost surely, 2^{4743870727680} is an apocalyptic number.

4743870727680 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 4743870727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432612270080).

4743870727680 is an abundant number, since it is smaller than the sum of its proper divisors (16121353812480).

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

4743870727680 is an equidigital number, since it uses as much as digits as its factorization.

4743870727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 63.

The spelling of 4743870727680 in words is "four trillion, seven hundred forty-three billion, eight hundred seventy million, seven hundred twenty-seven thousand, six hundred eighty".