4755924360 has 576 divisors, whose sum is σ = 18284797440. Its totient is φ = 1068672000.

The previous prime is 4755924359. The next prime is 4755924361. The reversal of 4755924360 is 634295574.

4755924360 is a `hidden beast` number, since 47 + 559 + 24 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4755924359) and next prime (4755924361).

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

It is not an unprimeable number, because it can be changed into a prime (4755924361) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47088310 + ... + 47088410.

It is an arithmetic number, because the mean of its divisors is an integer number (31744440).

Almost surely, 2^4755924360 is an apocalyptic number.

4755924360 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 4755924360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142398720).

4755924360 is an abundant number, since it is smaller than the sum of its proper divisors (13528873080).

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

4755924360 is a wasteful number, since it uses less digits than its factorization.

4755924360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 4755924360 is about 68963.2101921017. The cubic root of 4755924360 is about 1681.6862745482.

The spelling of 4755924360 in words is "four billion, seven hundred fifty-five million, nine hundred twenty-four thousand, three hundred sixty".