648037222560 has 1728 divisors, whose sum is σ = 2952636261120. Its totient is φ = 128274886656.

The previous prime is 648037222531. The next prime is 648037222561. The reversal of 648037222560 is 65222730846.

648037222560 is a `hidden beast` number, since 6 + 4 + 80 + 3 + 7 + 2 + 2 + 2 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (648037222561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6291623469 + ... + 6291623571.

It is an arithmetic number, because the mean of its divisors is an integer number (1708701540).

Almost surely, 2^648037222560 is an apocalyptic number.

648037222560 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 648037222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476318130560).

648037222560 is an abundant number, since it is smaller than the sum of its proper divisors (2304599038560).

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

648037222560 is a wasteful number, since it uses less digits than its factorization.

648037222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 648037222560 in words is "six hundred forty-eight billion, thirty-seven million, two hundred twenty-two thousand, five hundred sixty".