4374589768704 has 99 divisors (see below), whose sum is σ = 12632112822927. Its totient is φ = 1458129659904.

The previous prime is 4374589768699. The next prime is 4374589768733. The reversal of 4374589768704 is 4078679854734.

The square root of 4374589768704 is 2091552.

It is a perfect power (a square), and thus also a powerful number.

4374589768704 is a `hidden beast` number, since 4 + 3 + 7 + 458 + 97 + 6 + 87 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 200778099 + ... + 200799885.

Almost surely, 2^{4374589768704} is an apocalyptic number.

4374589768704 is the 2091552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4374589768704

4374589768704 is an abundant number, since it is smaller than the sum of its proper divisors (8257523054223).

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

4374589768704 is an frugal number, since it uses more digits than its factorization.

4374589768704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43600 (or 21792 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 4374589768704 in words is "four trillion, three hundred seventy-four billion, five hundred eighty-nine million, seven hundred sixty-eight thousand, seven hundred four".