4064345376 has 144 divisors (see below), whose sum is σ = 13365644544. Its totient is φ = 1071899136.

The previous prime is 4064345297. The next prime is 4064345399. The reversal of 4064345376 is 6735434604.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27921 + ... + 94383.

It is an arithmetic number, because the mean of its divisors is an integer number (92816976).

Almost surely, 2^4064345376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4064345376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682822272).

4064345376 is an abundant number, since it is smaller than the sum of its proper divisors (9301299168).

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

4064345376 is a wasteful number, since it uses less digits than its factorization.

4064345376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66503 (or 66488 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The square root of 4064345376 is about 63752.2185966889. The cubic root of 4064345376 is about 1595.8676406086.

The spelling of 4064345376 in words is "four billion, sixty-four million, three hundred forty-five thousand, three hundred seventy-six".