4682573742 has 64 divisors (see below), whose sum is σ = 11713227264. Its totient is φ = 1212378240.

The previous prime is 4682573729. The next prime is 4682573761. The reversal of 4682573742 is 2473752864.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 4682573691 and 4682573700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130468 + ... + 162440.

It is an arithmetic number, because the mean of its divisors is an integer number (183019176).

Almost surely, 2^4682573742 is an apocalyptic number.

4682573742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4682573742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856613632).

4682573742 is an abundant number, since it is smaller than the sum of its proper divisors (7030653522).

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

4682573742 is a wasteful number, since it uses less digits than its factorization.

4682573742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32313.

The product of its digits is 2257920, while the sum is 48.

The square root of 4682573742 is about 68429.3339292441. Note that the first 3 decimals coincide. The cubic root of 4682573742 is about 1672.9958942528.

The spelling of 4682573742 in words is "four billion, six hundred eighty-two million, five hundred seventy-three thousand, seven hundred forty-two".