4052167680 has 352 divisors, whose sum is σ = 14644074240. Its totient is φ = 947322880.

The previous prime is 4052167673. The next prime is 4052167681. The reversal of 4052167680 is 867612504.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (4052167681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4899427 + ... + 4900253.

Almost surely, 2^4052167680 is an apocalyptic number.

4052167680 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 4052167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322037120).

4052167680 is an abundant number, since it is smaller than the sum of its proper divisors (10591906560).

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

4052167680 is a wasteful number, since it uses less digits than its factorization.

4052167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 4052167680 is about 63656.6389310652. The cubic root of 4052167680 is about 1594.2721862284.

The spelling of 4052167680 in words is "four billion, fifty-two million, one hundred sixty-seven thousand, six hundred eighty".