329026137664 has 63 divisors (see below), whose sum is σ = 759583152027. Its totient is φ = 140997435264.

The previous prime is 329026137647. The next prime is 329026137667. The reversal of 329026137664 is 466731620923.

The square root of 329026137664 is 573608.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (329026137667) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 32116927 + ... + 32127169.

It is an arithmetic number, because the mean of its divisors is an integer number (12056875429).

Almost surely, 2^329026137664 is an apocalyptic number.

329026137664 is the 573608-th square number.

It is an amenable number.

329026137664 is an abundant number, since it is smaller than the sum of its proper divisors (430557014363).

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

329026137664 is an frugal number, since it uses more digits than its factorization.

329026137664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20512 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 49.

Multiplying 329026137664 by its sum of digits (49), we get a square (16122280745536 = 4015256²).

329026137664 divided by its sum of digits (49) gives a square (6714819136 = 81944²).

The spelling of 329026137664 in words is "three hundred twenty-nine billion, twenty-six million, one hundred thirty-seven thousand, six hundred sixty-four".