648431896250880 has 9600 divisors, whose sum is σ = 3174830747827200. Its totient is φ = 125210669875200.

The previous prime is 648431896250867. The next prime is 648431896250927. The reversal of 648431896250880 is 88052698134846.

648431896250880 is a `hidden beast` number, since 6 + 4 + 8 + 4 + 31 + 8 + 9 + 6 + 2 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 648431896250799 and 648431896250808.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 8207998686681 + ... + 8207998686759.

It is an arithmetic number, because the mean of its divisors is an integer number (330711536232).

Almost surely, 2^{648431896250880} is an apocalyptic number.

648431896250880 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 648431896250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587415373913600).

648431896250880 is an abundant number, since it is smaller than the sum of its proper divisors (2526398851576320).

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

648431896250880 is a wasteful number, since it uses less digits than its factorization.

648431896250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 648431896250880 in words is "six hundred forty-eight trillion, four hundred thirty-one billion, eight hundred ninety-six million, two hundred fifty thousand, eight hundred eighty".