4756864320 has 560 divisors, whose sum is σ = 19207520640. Its totient is φ = 1107800064.

The previous prime is 4756864309. The next prime is 4756864349. The reversal of 4756864320 is 234686574.

4756864320 is a `hidden beast` number, since 4 + 7 + 568 + 64 + 3 + 20 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6401869 + ... + 6402611.

It is an arithmetic number, because the mean of its divisors is an integer number (34299144).

Almost surely, 2^4756864320 is an apocalyptic number.

4756864320 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 4756864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9603760320).

4756864320 is an abundant number, since it is smaller than the sum of its proper divisors (14450656320).

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

4756864320 is a wasteful number, since it uses less digits than its factorization.

4756864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4756864320 is about 68970.0247933840. The cubic root of 4756864320 is about 1681.7970566371.

The spelling of 4756864320 in words is "four billion, seven hundred fifty-six million, eight hundred sixty-four thousand, three hundred twenty".