4064029760 has 112 divisors (see below), whose sum is σ = 11317443456. Its totient is φ = 1360945152.

The previous prime is 4064029759. The next prime is 4064029763. The reversal of 4064029760 is 679204604.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4064029763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75224 + ... + 117416.

Almost surely, 2^4064029760 is an apocalyptic number.

4064029760 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 4064029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658721728).

4064029760 is an abundant number, since it is smaller than the sum of its proper divisors (7253413696).

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

4064029760 is a wasteful number, since it uses less digits than its factorization.

4064029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42260 (or 42250 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 4064029760 is about 63749.7432151691. The cubic root of 4064029760 is about 1595.8263306023.

The spelling of 4064029760 in words is "four billion, sixty-four million, twenty-nine thousand, seven hundred sixty".