4705742304 has 120 divisors (see below), whose sum is σ = 14316908760. Its totient is φ = 1514467584.

The previous prime is 4705742291. The next prime is 4705742311. The reversal of 4705742304 is 4032475074.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43867 + ... + 106469.

It is an arithmetic number, because the mean of its divisors is an integer number (119307573).

Almost surely, 2^4705742304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4705742304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158454380).

4705742304 is an abundant number, since it is smaller than the sum of its proper divisors (9611166456).

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

4705742304 is a wasteful number, since it uses less digits than its factorization.

4705742304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62654 (or 62637 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 4705742304 is about 68598.4132761101. The cubic root of 4705742304 is about 1675.7505870751.

It can be divided in two parts, 470574 and 2304, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 4705742304 in words is "four billion, seven hundred five million, seven hundred forty-two thousand, three hundred four".