4757548320 has 288 divisors, whose sum is σ = 19531774080. Its totient is φ = 1030164480.

The previous prime is 4757548309. The next prime is 4757548381. The reversal of 4757548320 is 238457574.

4757548320 is a `hidden beast` number, since 4 + 7 + 575 + 48 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179100 + ... + 203940.

It is an arithmetic number, because the mean of its divisors is an integer number (67818660).

Almost surely, 2^4757548320 is an apocalyptic number.

4757548320 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 4757548320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765887040).

4757548320 is an abundant number, since it is smaller than the sum of its proper divisors (14774225760).

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

4757548320 is a wasteful number, since it uses less digits than its factorization.

4757548320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24888 (or 24877 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 4757548320 is about 68974.9832910455. The cubic root of 4757548320 is about 1681.8776625416.

The spelling of 4757548320 in words is "four billion, seven hundred fifty-seven million, five hundred forty-eight thousand, three hundred twenty".