648187381296 has 960 divisors, whose sum is σ = 2489600655360. Its totient is φ = 159481405440.

The previous prime is 648187381277. The next prime is 648187381351. The reversal of 648187381296 is 692183781846.

648187381296 is a `hidden beast` number, since 6 + 481 + 8 + 73 + 81 + 2 + 9 + 6 = 666.

648187381296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 594121711 + ... + 594122801.

It is an arithmetic number, because the mean of its divisors is an integer number (2593334016).

Almost surely, 2^648187381296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648187381296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244800327680).

648187381296 is an abundant number, since it is smaller than the sum of its proper divisors (1841413274064).

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

648187381296 is a wasteful number, since it uses less digits than its factorization.

648187381296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1260 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 648187381296 in words is "six hundred forty-eight billion, one hundred eighty-seven million, three hundred eighty-one thousand, two hundred ninety-six".