4004372064 has 288 divisors, whose sum is σ = 13571566848. Its totient is φ = 1011985920.

The previous prime is 4004371991. The next prime is 4004372077. The reversal of 4004372064 is 4602734004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108226254 + ... + 108226290.

It is an arithmetic number, because the mean of its divisors is an integer number (47123496).

Almost surely, 2^4004372064 is an apocalyptic number.

4004372064 is a gapful number since it is divisible by the number (44) 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 4004372064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785783424).

4004372064 is an abundant number, since it is smaller than the sum of its proper divisors (9567194784).

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

4004372064 is an frugal number, since it uses more digits than its factorization.

4004372064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 4004372064 is about 63280.1079645097. The cubic root of 4004372064 is about 1587.9791929630.

The spelling of 4004372064 in words is "four billion, four million, three hundred seventy-two thousand, sixty-four".