648149483520 has 1440 divisors, whose sum is σ = 2870703763200. Its totient is φ = 134102384640.

The previous prime is 648149483483. The next prime is 648149483557. The reversal of 648149483520 is 25384941846.

648149483520 is a `hidden beast` number, since 64 + 8 + 14 + 9 + 48 + 3 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (648149483483) and next prime (648149483557).

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2781757324 + ... + 2781757556.

It is an arithmetic number, because the mean of its divisors is an integer number (1993544280).

Almost surely, 2^648149483520 is an apocalyptic number.

648149483520 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 648149483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435351881600).

648149483520 is an abundant number, since it is smaller than the sum of its proper divisors (2222554279680).

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

648149483520 is a wasteful number, since it uses less digits than its factorization.

648149483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 648149483520 in words is "six hundred forty-eight billion, one hundred forty-nine million, four hundred eighty-three thousand, five hundred twenty".