648863750304 has 480 divisors, whose sum is σ = 2405965161600. Its totient is φ = 166637813760.

The previous prime is 648863750299. The next prime is 648863750341. The reversal of 648863750304 is 403057368846.

648863750304 is a `hidden beast` number, since 6 + 488 + 63 + 75 + 0 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17744712 + ... + 17781240.

It is an arithmetic number, because the mean of its divisors is an integer number (5012427420).

Almost surely, 2^648863750304 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 648863750304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202982580800).

648863750304 is an abundant number, since it is smaller than the sum of its proper divisors (1757101411296).

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

648863750304 is a wasteful number, since it uses less digits than its factorization.

648863750304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36658 (or 36641 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 648863750304 in words is "six hundred forty-eight billion, eight hundred sixty-three million, seven hundred fifty thousand, three hundred four".