4755735504 has 240 divisors, whose sum is σ = 15271855872. Its totient is φ = 1423194624.

The previous prime is 4755735463. The next prime is 4755735539. The reversal of 4755735504 is 4055375574.

It is a happy number.

4755735504 is a `hidden beast` number, since 4 + 75 + 5 + 73 + 5 + 504 = 666.

It is a super-2 number, since 2×4755735504² = 45234040368012268032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4755735504.

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 47 ways as a sum of consecutive naturals, for example, 1868857 + ... + 1871399.

Almost surely, 2^4755735504 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 4755735504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7635927936).

4755735504 is an abundant number, since it is smaller than the sum of its proper divisors (10516120368).

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

4755735504 is a wasteful number, since it uses less digits than its factorization.

4755735504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 45.

The square root of 4755735504 is about 68961.8409267038. The cubic root of 4755735504 is about 1681.6640145400.

The spelling of 4755735504 in words is "four billion, seven hundred fifty-five million, seven hundred thirty-five thousand, five hundred four".