4233730762680 has 256 divisors, whose sum is σ = 13760226086400. Its totient is φ = 1038160281600.

The previous prime is 4233730762619. The next prime is 4233730762711. The reversal of 4233730762680 is 862670373324.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19510780 + ... + 19726580.

It is an arithmetic number, because the mean of its divisors is an integer number (53750883150).

Almost surely, 2^{4233730762680} is an apocalyptic number.

4233730762680 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 4233730762680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880113043200).

4233730762680 is an abundant number, since it is smaller than the sum of its proper divisors (9526495323720).

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

4233730762680 is a wasteful number, since it uses less digits than its factorization.

4233730762680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216054 (or 216050 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 4233730762680 in words is "four trillion, two hundred thirty-three billion, seven hundred thirty million, seven hundred sixty-two thousand, six hundred eighty".