4758972192 has 288 divisors, whose sum is σ = 15207768576. Its totient is φ = 1401753600.

The previous prime is 4758972149. The next prime is 4758972217. The reversal of 4758972192 is 2912798574.

4758972192 is a `hidden beast` number, since 47 + 589 + 7 + 2 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (2540160) is a multiple of the sum of its prime factors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15204228 + ... + 15204540.

It is an arithmetic number, because the mean of its divisors is an integer number (52804752).

Almost surely, 2^4758972192 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 4758972192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603884288).

4758972192 is an abundant number, since it is smaller than the sum of its proper divisors (10448796384).

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

4758972192 is a wasteful number, since it uses less digits than its factorization.

4758972192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 493 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 4758972192 is about 68985.3041741500. The cubic root of 4758972192 is about 1682.0454338026.

The spelling of 4758972192 in words is "four billion, seven hundred fifty-eight million, nine hundred seventy-two thousand, one hundred ninety-two".