4753546560 has 784 divisors, whose sum is σ = 20148694272. Its totient is φ = 1045094400.

The previous prime is 4753546549. The next prime is 4753546607. The reversal of 4753546560 is 656453574.

4753546560 is a `hidden beast` number, since 4 + 7 + 53 + 546 + 56 + 0 = 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 111 ways as a sum of consecutive naturals, for example, 66951325 + ... + 66951395.

Almost surely, 2^4753546560 is an apocalyptic number.

4753546560 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 4753546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10074347136).

4753546560 is an abundant number, since it is smaller than the sum of its proper divisors (15395147712).

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

4753546560 is an equidigital number, since it uses as much as digits as its factorization.

4753546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The square root of 4753546560 is about 68945.9684100528. The cubic root of 4753546560 is about 1681.4059658979.

The spelling of 4753546560 in words is "four billion, seven hundred fifty-three million, five hundred forty-six thousand, five hundred sixty".