648578945664 has 512 divisors, whose sum is σ = 2091853209600. Its totient is φ = 196644962304.

The previous prime is 648578945653. The next prime is 648578945669. The reversal of 648578945664 is 466549875846.

It is a happy number.

648578945664 is a `hidden beast` number, since 6 + 4 + 8 + 57 + 8 + 9 + 4 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 648578945592 and 648578945601.

It is not an unprimeable number, because it can be changed into a prime (648578945669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1124053344 + ... + 1124053920.

It is an arithmetic number, because the mean of its divisors is an integer number (4085650800).

Almost surely, 2^648578945664 is an apocalyptic number.

648578945664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648578945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045926604800).

648578945664 is an abundant number, since it is smaller than the sum of its proper divisors (1443274263936).

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

648578945664 is a wasteful number, since it uses less digits than its factorization.

648578945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 919 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 648578945664 in words is "six hundred forty-eight billion, five hundred seventy-eight million, nine hundred forty-five thousand, six hundred sixty-four".