648789824185380 has 576 divisors, whose sum is σ = 2082646897164288. Its totient is φ = 163253486223360.

The previous prime is 648789824185337. The next prime is 648789824185421. The reversal of 648789824185380 is 83581428987846.

648789824185380 is a `hidden beast` number, since 6 + 4 + 8 + 7 + 89 + 82 + 4 + 1 + 85 + 380 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 648789824185380.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62043585112 + ... + 62043595568.

It is an arithmetic number, because the mean of its divisors is an integer number (3615706418688).

It is a 2-persistent number, because it is pandigital, and so is 2⋅648789824185380 = 1297579648370760, but 3⋅648789824185380 = 1946369472556140 is not.

Almost surely, 2^{648789824185380} is an apocalyptic number.

648789824185380 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 648789824185380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041323448582144).

648789824185380 is an abundant number, since it is smaller than the sum of its proper divisors (1433857072978908).

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

648789824185380 is a wasteful number, since it uses less digits than its factorization.

648789824185380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11836 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 5945425920, while the sum is 81.

The spelling of 648789824185380 in words is "six hundred forty-eight trillion, seven hundred eighty-nine billion, eight hundred twenty-four million, one hundred eighty-five thousand, three hundred eighty".