648964961668296 has 640 divisors, whose sum is σ = 2252844501600000. Its totient is φ = 170970470820864.

The previous prime is 648964961668277. The next prime is 648964961668301. The reversal of 648964961668296 is 692866169469846.

648964961668296 is a `hidden beast` number, since 6 + 4 + 8 + 96 + 496 + 1 + 6 + 6 + 8 + 29 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9337724955 + ... + 9337794453.

It is an arithmetic number, because the mean of its divisors is an integer number (3520069533750).

Almost surely, 2^{648964961668296} 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 648964961668296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126422250800000).

648964961668296 is an abundant number, since it is smaller than the sum of its proper divisors (1603879539931704).

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

648964961668296 is a wasteful number, since it uses less digits than its factorization.

648964961668296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70500 (or 70461 counting only the distinct ones).

The product of its digits is 69657034752, while the sum is 90.

The spelling of 648964961668296 in words is "six hundred forty-eight trillion, nine hundred sixty-four billion, nine hundred sixty-one million, six hundred sixty-eight thousand, two hundred ninety-six".