4753458560 has 64 divisors (see below), whose sum is σ = 11374901280. Its totient is φ = 1899515904.

The previous prime is 4753458559. The next prime is 4753458653. The reversal of 4753458560 is 658543574.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 779684 + ... + 785756.

Almost surely, 2^4753458560 is an apocalyptic number.

4753458560 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 4753458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687450640).

4753458560 is an abundant number, since it is smaller than the sum of its proper divisors (6621442720).

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

4753458560 is a wasteful number, since it uses less digits than its factorization.

4753458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315 (or 7303 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 47.

The square root of 4753458560 is about 68945.3302262017. The cubic root of 4753458560 is about 1681.3955901615.

The spelling of 4753458560 in words is "four billion, seven hundred fifty-three million, four hundred fifty-eight thousand, five hundred sixty".