89764953664 has 63 divisors (see below), whose sum is σ = 189307697457. Its totient is φ = 42223156224.

The previous prime is 89764953661. The next prime is 89764953671. The reversal of 89764953664 is 46635946798.

The square root of 89764953664 is 299608.

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

It can be written as a sum of positive squares in only one way, i.e., 69886209600 + 19878744064 = 264360^2 + 140992^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 89764953664.

It is not an unprimeable number, because it can be changed into a prime (89764953661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40745587 + ... + 40747789.

Almost surely, 2^89764953664 is an apocalyptic number.

89764953664 is the 299608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89764953664

89764953664 is an abundant number, since it is smaller than the sum of its proper divisors (99542743793).

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

89764953664 is an frugal number, since it uses more digits than its factorization.

89764953664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 2222 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 67.

The spelling of 89764953664 in words is "eighty-nine billion, seven hundred sixty-four million, nine hundred fifty-three thousand, six hundred sixty-four".