5075706384 has 240 divisors, whose sum is σ = 16903045120. Its totient is φ = 1391281920.

The previous prime is 5075706373. The next prime is 5075706403. The reversal of 5075706384 is 4836075705.

5075706384 is a `hidden beast` number, since 5 + 0 + 7 + 5 + 7 + 0 + 638 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 3967857 + ... + 3969135.

Almost surely, 2^5075706384 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 5075706384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451522560).

5075706384 is an abundant number, since it is smaller than the sum of its proper divisors (11827338736).

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

5075706384 is a wasteful number, since it uses less digits than its factorization.

5075706384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5075706384 is about 71243.9919151082. The cubic root of 5075706384 is about 1718.5631573440.

The spelling of 5075706384 in words is "five billion, seventy-five million, seven hundred six thousand, three hundred eighty-four".