4765234772760 has 2304 divisors, whose sum is σ = 19972211212800. Its totient is φ = 904071168000.

The previous prime is 4765234772759. The next prime is 4765234772761. The reversal of 4765234772760 is 672774325674.

It is an interprime number because it is at equal distance from previous prime (4765234772759) and next prime (4765234772761).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4765234772694 and 4765234772703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4765234772761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 36375837895 + ... + 36375838025.

It is an arithmetic number, because the mean of its divisors is an integer number (8668494450).

Almost surely, 2^{4765234772760} is an apocalyptic number.

4765234772760 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 4765234772760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9986105606400).

4765234772760 is an abundant number, since it is smaller than the sum of its proper divisors (15206976440040).

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

4765234772760 is a wasteful number, since it uses less digits than its factorization.

4765234772760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 60.

The spelling of 4765234772760 in words is "four trillion, seven hundred sixty-five billion, two hundred thirty-four million, seven hundred seventy-two thousand, seven hundred sixty".