8352497664 has 459 divisors, whose sum is σ = 29816948577. Its totient is φ = 2246049792.

The previous prime is 8352497653. The next prime is 8352497683. The reversal of 8352497664 is 4667942538.

The square root of 8352497664 is 91392.

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., 6502809600 + 1849688064 = 80640^2 + 43008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8352497664.

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 26 ways as a sum of consecutive naturals, for example, 491323384 + ... + 491323400.

Almost surely, 2^8352497664 is an apocalyptic number.

8352497664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8352497664 is the 91392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8352497664

8352497664 is an abundant number, since it is smaller than the sum of its proper divisors (21464450913).

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

8352497664 is an equidigital number, since it uses as much as digits as its factorization.

8352497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 29 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The cubic root of 8352497664 is about 2028.9536264100.

The spelling of 8352497664 in words is "eight billion, three hundred fifty-two million, four hundred ninety-seven thousand, six hundred sixty-four".