648248832000 has 3120 divisors, whose sum is σ = 3172665244320. Its totient is φ = 130056192000.

The previous prime is 648248831977. The next prime is 648248832031. The reversal of 648248832000 is 238842846.

648248832000 is a `hidden beast` number, since 64 + 82 + 488 + 32 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22353407986 + ... + 22353408014.

It is an arithmetic number, because the mean of its divisors is an integer number (1016879886).

Almost surely, 2^648248832000 is an apocalyptic number.

648248832000 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 648248832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586332622160).

648248832000 is an abundant number, since it is smaller than the sum of its proper divisors (2524416412320).

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

648248832000 is a wasteful number, since it uses less digits than its factorization.

648248832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 648248832000 in words is "six hundred forty-eight billion, two hundred forty-eight million, eight hundred thirty-two thousand".