648205320960 has 288 divisors, whose sum is σ = 2302085741760. Its totient is φ = 172715212800.

The previous prime is 648205320949. The next prime is 648205321003. The reversal of 648205320960 is 69023502846.

648205320960 is a `hidden beast` number, since 6 + 4 + 8 + 20 + 532 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47029270 + ... + 47043050.

It is an arithmetic number, because the mean of its divisors is an integer number (7993353270).

Almost surely, 2^648205320960 is an apocalyptic number.

648205320960 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 648205320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151042870880).

648205320960 is an abundant number, since it is smaller than the sum of its proper divisors (1653880420800).

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

648205320960 is a wasteful number, since it uses less digits than its factorization.

648205320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15172 (or 15152 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 648205320960 in words is "six hundred forty-eight billion, two hundred five million, three hundred twenty thousand, nine hundred sixty".