648046984495680 has 336 divisors, whose sum is σ = 2779027459138944. Its totient is φ = 134659113615360.

The previous prime is 648046984495499. The next prime is 648046984495723. The reversal of 648046984495680 is 86594489640846.

648046984495680 is a `hidden beast` number, since 6 + 4 + 8 + 0 + 4 + 6 + 9 + 8 + 4 + 49 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×648046984495680³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 648046984495680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1460923137 + ... + 1461366656.

Almost surely, 2^{648046984495680} is an apocalyptic number.

648046984495680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648046984495680 is an abundant number, since it is smaller than the sum of its proper divisors (2130980474643264).

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

648046984495680 is a wasteful number, since it uses less digits than its factorization.

648046984495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922289834 (or 2922289821 counting only the distinct ones).

The product of its (nonzero) digits is 11466178560, while the sum is 81.

The spelling of 648046984495680 in words is "six hundred forty-eight trillion, forty-six billion, nine hundred eighty-four million, four hundred ninety-five thousand, six hundred eighty".