4758942720 has 264 divisors, whose sum is σ = 17709071904. Its totient is φ = 1087586304.

The previous prime is 4758942707. The next prime is 4758942731. The reversal of 4758942720 is 272498574.

It is a super-3 number, since 3×4758942720³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4758942720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749479 + ... + 755801.

Almost surely, 2^4758942720 is an apocalyptic number.

4758942720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4758942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854535952).

4758942720 is an abundant number, since it is smaller than the sum of its proper divisors (12950129184).

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

4758942720 is a wasteful number, since it uses less digits than its factorization.

4758942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6365 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 4758942720 is about 68985.0905631065. The cubic root of 4758942720 is about 1682.0419615300.

It can be divided in two parts, 47589 and 42720, that added together give a palindrome (90309).

The spelling of 4758942720 in words is "four billion, seven hundred fifty-eight million, nine hundred forty-two thousand, seven hundred twenty".