4068167760 has 320 divisors, whose sum is σ = 14554425600. Its totient is φ = 1043601408.

The previous prime is 4068167749. The next prime is 4068167771. The reversal of 4068167760 is 677618604.

It is an interprime number because it is at equal distance from previous prime (4068167749) and next prime (4068167771).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8711047 + ... + 8711513.

It is an arithmetic number, because the mean of its divisors is an integer number (45482580).

Almost surely, 2^4068167760 is an apocalyptic number.

4068167760 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 4068167760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277212800).

4068167760 is an abundant number, since it is smaller than the sum of its proper divisors (10486257840).

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

4068167760 is a wasteful number, since it uses less digits than its factorization.

4068167760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4068167760 is about 63782.1899906236. The cubic root of 4068167760 is about 1596.3677709765.

The spelling of 4068167760 in words is "four billion, sixty-eight million, one hundred sixty-seven thousand, seven hundred sixty".