4758381936 has 400 divisors, whose sum is σ = 17604373248. Its totient is φ = 1204761600.

The previous prime is 4758381917. The next prime is 4758381959. The reversal of 4758381936 is 6391838574.

4758381936 is a `hidden beast` number, since 47 + 583 + 8 + 19 + 3 + 6 = 666.

It is a super-2 number, since 2×4758381936² = 45284397297702216192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4090891 + ... + 4092053.

Almost surely, 2^4758381936 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 4758381936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8802186624).

4758381936 is an abundant number, since it is smaller than the sum of its proper divisors (12845991312).

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

4758381936 is a wasteful number, since it uses less digits than its factorization.

4758381936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1227 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 4758381936 is about 68981.0259129277. The cubic root of 4758381936 is about 1681.9758894822.

It can be divided in two parts, 475838 and 1936, that added together give a palindrome (477774).

The spelling of 4758381936 in words is "four billion, seven hundred fifty-eight million, three hundred eighty-one thousand, nine hundred thirty-six".