739829664 has 144 divisors (see below), whose sum is σ = 2546002368. Its totient is φ = 198936576.

The previous prime is 739829659. The next prime is 739829731. The reversal of 739829664 is 466928937.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 739829664.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23479 + ... + 45065.

It is an arithmetic number, because the mean of its divisors is an integer number (17680572).

Almost surely, 2^739829664 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 739829664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273001184).

739829664 is an abundant number, since it is smaller than the sum of its proper divisors (1806172704).

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

739829664 is a wasteful number, since it uses less digits than its factorization.

739829664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21627 (or 21616 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 739829664 is about 27199.8099993364. The cubic root of 739829664 is about 904.4347635946.

The spelling of 739829664 in words is "seven hundred thirty-nine million, eight hundred twenty-nine thousand, six hundred sixty-four".