8002629947664 has 405 divisors, whose sum is σ = 25530057585669. Its totient is φ = 2338248971520.

The previous prime is 8002629947593. The next prime is 8002629947687. The reversal of 8002629947664 is 4667499262008.

The square root of 8002629947664 is 2828892.

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

8002629947664 is a `hidden beast` number, since 80 + 0 + 2 + 6 + 29 + 9 + 476 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4196385026064 + 3806244921600 = 2048508^2 + 1950960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10828998207 + ... + 10828998945.

Almost surely, 2^{8002629947664} is an apocalyptic number.

8002629947664 is the 2828892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8002629947664

8002629947664 is an abundant number, since it is smaller than the sum of its proper divisors (17527427638005).

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

8002629947664 is a wasteful number, since it uses less digits than its factorization.

8002629947664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 8002629947664 in words is "eight trillion, two billion, six hundred twenty-nine million, nine hundred forty-seven thousand, six hundred sixty-four".