8950673664 has 243 divisors, whose sum is σ = 27170341653. Its totient is φ = 2942687232.

The previous prime is 8950673659. The next prime is 8950673687. The reversal of 8950673664 is 4663760598.

The square root of 8950673664 is 94608.

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

8950673664 is a `hidden beast` number, since 8 + 9 + 506 + 73 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5080838400 + 3869835264 = 71280^2 + 62208^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×8950673664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8950673664.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 122611932 + ... + 122612004.

Almost surely, 2^8950673664 is an apocalyptic number.

8950673664 is the 94608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8950673664

8950673664 is an abundant number, since it is smaller than the sum of its proper divisors (18219667989).

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

8950673664 is an frugal number, since it uses more digits than its factorization.

8950673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The cubic root of 8950673664 is about 2076.2767515038.

The spelling of 8950673664 in words is "eight billion, nine hundred fifty million, six hundred seventy-three thousand, six hundred sixty-four".