4781742336 has 432 divisors, whose sum is σ = 16665958400. Its totient is φ = 1339213824.

The previous prime is 4781742311. The next prime is 4781742347. The reversal of 4781742336 is 6332471874.

4781742336 is a `hidden beast` number, since 478 + 174 + 2 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (677376) is a multiple of the sum of its prime factors (256).

It is a junction number, because it is equal to n+sod(n) for n = 4781742291 and 4781742300.

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 47 ways as a sum of consecutive naturals, for example, 34400955 + ... + 34401093.

Almost surely, 2^4781742336 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 4781742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332979200).

4781742336 is an abundant number, since it is smaller than the sum of its proper divisors (11884216064).

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

4781742336 is an equidigital number, since it uses as much as digits as its factorization.

4781742336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 230 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 4781742336 is about 69150.1434271831. The cubic root of 4781742336 is about 1684.7238478255.

The spelling of 4781742336 in words is "four billion, seven hundred eighty-one million, seven hundred forty-two thousand, three hundred thirty-six".