4758914160 has 1280 divisors, whose sum is σ = 23038525440. Its totient is φ = 870912000.

The previous prime is 4758914141. The next prime is 4758914197. The reversal of 4758914160 is 614198574.

4758914160 is a `hidden beast` number, since 4 + 7 + 589 + 1 + 4 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67026925 + ... + 67026995.

It is an arithmetic number, because the mean of its divisors is an integer number (17998848).

Almost surely, 2^4758914160 is an apocalyptic number.

4758914160 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 4758914160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11519262720).

4758914160 is an abundant number, since it is smaller than the sum of its proper divisors (18279611280).

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

4758914160 is a wasteful number, since it uses less digits than its factorization.

4758914160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4758914160 is about 68984.8835615456. The cubic root of 4758914160 is about 1682.0385966920.

The spelling of 4758914160 in words is "four billion, seven hundred fifty-eight million, nine hundred fourteen thousand, one hundred sixty".