4756540320 has 288 divisors, whose sum is σ = 19238663808. Its totient is φ = 1087147008.

The previous prime is 4756540307. The next prime is 4756540333. The reversal of 4756540320 is 230456574.

4756540320 is a `hidden beast` number, since 47 + 56 + 540 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4756540307) and next prime (4756540333).

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263422 + ... + 280898.

It is an arithmetic number, because the mean of its divisors is an integer number (66800916).

Almost surely, 2^4756540320 is an apocalyptic number.

4756540320 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 4756540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9619331904).

4756540320 is an abundant number, since it is smaller than the sum of its proper divisors (14482123488).

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

4756540320 is a wasteful number, since it uses less digits than its factorization.

4756540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17514 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4756540320 is about 68967.6759069058. The cubic root of 4756540320 is about 1681.7588721958.

Adding to 4756540320 its reverse (230456574), we get a palindrome (4986996894).

The spelling of 4756540320 in words is "four billion, seven hundred fifty-six million, five hundred forty thousand, three hundred twenty".