648289474560 has 1728 divisors, whose sum is σ = 2926127786400. Its totient is φ = 136447524864.

The previous prime is 648289474537. The next prime is 648289474571. The reversal of 648289474560 is 65474982846.

648289474560 is a `hidden beast` number, since 6 + 4 + 8 + 28 + 9 + 47 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1585059636 + ... + 1585060044.

Almost surely, 2^648289474560 is an apocalyptic number.

648289474560 is a gapful number since it is divisible by the number (60) 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 648289474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463063893200).

648289474560 is an abundant number, since it is smaller than the sum of its proper divisors (2277838311840).

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

648289474560 is a wasteful number, since it uses less digits than its factorization.

648289474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 648289474560 in words is "six hundred forty-eight billion, two hundred eighty-nine million, four hundred seventy-four thousand, five hundred sixty".