4164169680 has 240 divisors, whose sum is σ = 15303038400. Its totient is φ = 1006387200.

The previous prime is 4164169661. The next prime is 4164169693. The reversal of 4164169680 is 869614614.

4164169680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 3555495 + ... + 3556665.

It is an arithmetic number, because the mean of its divisors is an integer number (63762660).

Almost surely, 2^4164169680 is an apocalyptic number.

4164169680 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 4164169680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7651519200).

4164169680 is an abundant number, since it is smaller than the sum of its proper divisors (11138868720).

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

4164169680 is a wasteful number, since it uses less digits than its factorization.

4164169680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4164169680 is about 64530.3779626309. The cubic root of 4164169680 is about 1608.8274682278.

The spelling of 4164169680 in words is "four billion, one hundred sixty-four million, one hundred sixty-nine thousand, six hundred eighty".