4174080768 has 576 divisors, whose sum is σ = 14999362560. Its totient is φ = 1128038400.

The previous prime is 4174080761. The next prime is 4174080787. The reversal of 4174080768 is 8670804714.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (4174080761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40525005 + ... + 40525107.

It is an arithmetic number, because the mean of its divisors is an integer number (26040560).

Almost surely, 2^4174080768 is an apocalyptic number.

4174080768 is a gapful number since it is divisible by the number (48) 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 4174080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499681280).

4174080768 is an abundant number, since it is smaller than the sum of its proper divisors (10825281792).

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

4174080768 is a wasteful number, since it uses less digits than its factorization.

4174080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 4174080768 is about 64607.1262942409. The cubic root of 4174080768 is about 1610.1028402860.

The spelling of 4174080768 in words is "four billion, one hundred seventy-four million, eighty thousand, seven hundred sixty-eight".