4757544960 has 224 divisors, whose sum is σ = 17401105152. Its totient is φ = 1087242240.

The previous prime is 4757544949. The next prime is 4757544997. The reversal of 4757544960 is 694457574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×4757544960³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857395 + ... + 862925.

Almost surely, 2^4757544960 is an apocalyptic number.

4757544960 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 4757544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8700552576).

4757544960 is an abundant number, since it is smaller than the sum of its proper divisors (12643560192).

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

4757544960 is an equidigital number, since it uses as much as digits as its factorization.

4757544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The square root of 4757544960 is about 68974.9589343843. The cubic root of 4757544960 is about 1681.8772666017.

The spelling of 4757544960 in words is "four billion, seven hundred fifty-seven million, five hundred forty-four thousand, nine hundred sixty".