4064948160 has 896 divisors, whose sum is σ = 17478451200. Its totient is φ = 776355840.

The previous prime is 4064948123. The next prime is 4064948207. The reversal of 4064948160 is 618494604.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51455001 + ... + 51455079.

It is an arithmetic number, because the mean of its divisors is an integer number (19507200).

Almost surely, 2^4064948160 is an apocalyptic number.

4064948160 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 4064948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739225600).

4064948160 is an abundant number, since it is smaller than the sum of its proper divisors (13413503040).

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

4064948160 is a wasteful number, since it uses less digits than its factorization.

4064948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4064948160 is about 63756.9459745368. The cubic root of 4064948160 is about 1595.9465312079.

The spelling of 4064948160 in words is "four billion, sixty-four million, nine hundred forty-eight thousand, one hundred sixty".