4168896960 has 112 divisors (see below), whose sum is σ = 13248961056. Its totient is φ = 1110638592.

The previous prime is 4168896937. The next prime is 4168897003. The reversal of 4168896960 is 696988614.

It is a self number, because there is not a number n which added to its sum of digits gives 4168896960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1935244 + ... + 1937396.

Almost surely, 2^4168896960 is an apocalyptic number.

4168896960 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 4168896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624480528).

4168896960 is an abundant number, since it is smaller than the sum of its proper divisors (9080064096).

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

4168896960 is a wasteful number, since it uses less digits than its factorization.

4168896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 4168896960 is about 64566.9959034800. The cubic root of 4168896960 is about 1609.4360330692.

The spelling of 4168896960 in words is "four billion, one hundred sixty-eight million, eight hundred ninety-six thousand, nine hundred sixty".