4753267200 has 720 divisors, whose sum is σ = 19313978112. Its totient is φ = 1115136000.

The previous prime is 4753267199. The next prime is 4753267219. The reversal of 4753267200 is 27623574.

It is a happy number.

4753267200 is a `hidden beast` number, since 47 + 532 + 67 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153331185 + ... + 153331215.

Almost surely, 2^4753267200 is an apocalyptic number.

4753267200 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 4753267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9656989056).

4753267200 is an abundant number, since it is smaller than the sum of its proper divisors (14560710912).

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

4753267200 is a wasteful number, since it uses less digits than its factorization.

4753267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 4753267200 is about 68943.9424460191. The cubic root of 4753267200 is about 1681.3730272091.

It can be divided in two parts, 4753 and 267200, that added together give a triangular number (271953 = T₇₃₇).

The spelling of 4753267200 in words is "four billion, seven hundred fifty-three million, two hundred sixty-seven thousand, two hundred".