4017646960 has 80 divisors (see below), whose sum is σ = 9524095776. Its totient is φ = 1575788544.

The previous prime is 4017646931. The next prime is 4017646973. The reversal of 4017646960 is 696467104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4017646960² = 32282974190394483200, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1247272 + ... + 1250488.

Almost surely, 2^4017646960 is an apocalyptic number.

4017646960 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 4017646960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762047888).

4017646960 is an abundant number, since it is smaller than the sum of its proper divisors (5506448816).

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

4017646960 is a wasteful number, since it uses less digits than its factorization.

4017646960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 4017646960 is about 63384.9111382196. The cubic root of 4017646960 is about 1589.7320276742.

The spelling of 4017646960 in words is "four billion, seventeen million, six hundred forty-six thousand, nine hundred sixty".