648970125195600 has 2880 divisors, whose sum is σ = 2741731295109120. Its totient is φ = 145075890585600.

The previous prime is 648970125195551. The next prime is 648970125195641. The reversal of 648970125195600 is 6591521079846.

648970125195600 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 7 + 0 + 1 + 2 + 5 + 19 + 5 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 426113016439 + ... + 426113017961.

It is an arithmetic number, because the mean of its divisors is an integer number (951990033024).

Almost surely, 2^{648970125195600} is an apocalyptic number.

648970125195600 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 648970125195600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370865647554560).

648970125195600 is an abundant number, since it is smaller than the sum of its proper divisors (2092761169913520).

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

648970125195600 is a wasteful number, since it uses less digits than its factorization.

648970125195600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 648970125195600 in words is "six hundred forty-eight trillion, nine hundred seventy billion, one hundred twenty-five million, one hundred ninety-five thousand, six hundred".