4758475268736 has 384 divisors, whose sum is σ = 16606196006400. Its totient is φ = 1327943973888.

The previous prime is 4758475268717. The next prime is 4758475268747. The reversal of 4758475268736 is 6378625748574.

4758475268736 is a `hidden beast` number, since 4 + 7 + 58 + 47 + 526 + 8 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9108175 + ... + 9616433.

It is an arithmetic number, because the mean of its divisors is an integer number (43245302100).

Almost surely, 2^{4758475268736} 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 4758475268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303098003200).

4758475268736 is an abundant number, since it is smaller than the sum of its proper divisors (11847720737664).

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

4758475268736 is an equidigital number, since it uses as much as digits as its factorization.

4758475268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508338 (or 508314 counting only the distinct ones).

The product of its digits is 1896652800, while the sum is 72.

The spelling of 4758475268736 in words is "four trillion, seven hundred fifty-eight billion, four hundred seventy-five million, two hundred sixty-eight thousand, seven hundred thirty-six".