648307520640 has 768 divisors, whose sum is σ = 2461229971200. Its totient is φ = 156284190720.

The previous prime is 648307520633. The next prime is 648307520657. The reversal of 648307520640 is 46025703846.

648307520640 is a `hidden beast` number, since 6 + 4 + 83 + 0 + 7 + 520 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1047346251 + ... + 1047346869.

It is an arithmetic number, because the mean of its divisors is an integer number (3204726525).

Almost surely, 2^648307520640 is an apocalyptic number.

648307520640 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 648307520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230614985600).

648307520640 is an abundant number, since it is smaller than the sum of its proper divisors (1812922450560).

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

648307520640 is a wasteful number, since it uses less digits than its factorization.

648307520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 910 counting only the distinct ones).

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

The spelling of 648307520640 in words is "six hundred forty-eight billion, three hundred seven million, five hundred twenty thousand, six hundred forty".