8297129664 has 336 divisors, whose sum is σ = 26018703360. Its totient is φ = 2520207360.

The previous prime is 8297129657. The next prime is 8297129717. The reversal of 8297129664 is 4669217928.

8297129664 is a `hidden beast` number, since 8 + 297 + 1 + 296 + 64 = 666.

It is a super-2 number, since 2×8297129664² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8297129664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36551119 + ... + 36551345.

Almost surely, 2^8297129664 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 8297129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13009351680).

8297129664 is an abundant number, since it is smaller than the sum of its proper divisors (17721573696).

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

8297129664 is a wasteful number, since it uses less digits than its factorization.

8297129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 375 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 8297129664 is about 91088.5814139182. The cubic root of 8297129664 is about 2024.4604294470.

The spelling of 8297129664 in words is "eight billion, two hundred ninety-seven million, one hundred twenty-nine thousand, six hundred sixty-four".