4742856384 has 448 divisors, whose sum is σ = 16000975872. Its totient is φ = 1209139200.

The previous prime is 4742856329. The next prime is 4742856413. The reversal of 4742856384 is 4836582474.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (5160960) is a multiple of the sum of its prime factors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57142807 + ... + 57142889.

It is an arithmetic number, because the mean of its divisors is an integer number (35716464).

Almost surely, 2^4742856384 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 4742856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000487936).

4742856384 is an abundant number, since it is smaller than the sum of its proper divisors (11258119488).

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

4742856384 is a wasteful number, since it uses less digits than its factorization.

4742856384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The square root of 4742856384 is about 68868.3990230643. The cubic root of 4742856384 is about 1680.1445907299.

The spelling of 4742856384 in words is "four billion, seven hundred forty-two million, eight hundred fifty-six thousand, three hundred eighty-four".