4391729664 has 480 divisors, whose sum is σ = 14778339840. Its totient is φ = 1152442368.

The previous prime is 4391729651. The next prime is 4391729789. The reversal of 4391729664 is 4669271934.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74436067 + ... + 74436125.

It is an arithmetic number, because the mean of its divisors is an integer number (30788208).

Almost surely, 2^4391729664 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 4391729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389169920).

4391729664 is an abundant number, since it is smaller than the sum of its proper divisors (10386610176).

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

4391729664 is a wasteful number, since it uses less digits than its factorization.

4391729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 4391729664 is about 66270.1264824506. The cubic root of 4391729664 is about 1637.6152211836.

The spelling of 4391729664 in words is "four billion, three hundred ninety-one million, seven hundred twenty-nine thousand, six hundred sixty-four".