4374123768 has 240 divisors, whose sum is σ = 14328931320. Its totient is φ = 1243009152.

The previous prime is 4374123709. The next prime is 4374123781. The reversal of 4374123768 is 8673214734.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (677376) is a multiple of the sum of its prime divisors (756).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 11017746 + ... + 11018142.

Almost surely, 2^4374123768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4374123768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164465660).

4374123768 is an abundant number, since it is smaller than the sum of its proper divisors (9954807552).

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

4374123768 is a wasteful number, since it uses less digits than its factorization.

4374123768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 756 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 4374123768 is about 66137.1587536084. The cubic root of 4374123768 is about 1635.4239587382.

The spelling of 4374123768 in words is "four billion, three hundred seventy-four million, one hundred twenty-three thousand, seven hundred sixty-eight".