4765721875200 has 2592 divisors, whose sum is σ = 21024707457600. Its totient is φ = 1049119948800.

The previous prime is 4765721875193. The next prime is 4765721875207. The reversal of 4765721875200 is 25781275674.

4765721875200 is a `hidden beast` number, since 4 + 7 + 6 + 572 + 18 + 7 + 52 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4765721875193) and next prime (4765721875207).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4765721875207) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 24191481502 + ... + 24191481698.

It is an arithmetic number, because the mean of its divisors is an integer number (8111384050).

Almost surely, 2^{4765721875200} is an apocalyptic number.

4765721875200 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 4765721875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10512353728800).

4765721875200 is an abundant number, since it is smaller than the sum of its proper divisors (16258985582400).

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

4765721875200 is a wasteful number, since it uses less digits than its factorization.

4765721875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 4765721875200 in words is "four trillion, seven hundred sixty-five billion, seven hundred twenty-one million, eight hundred seventy-five thousand, two hundred".