6425935712448 has 336 divisors, whose sum is σ = 20273292756864. Its totient is φ = 1790041559040.

The previous prime is 6425935712437. The next prime is 6425935712507. The reversal of 6425935712448 is 8442175395246.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 6425935712391 and 6425935712400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720149715 + ... + 720158637.

It is an arithmetic number, because the mean of its divisors is an integer number (60337180824).

Almost surely, 2^{6425935712448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6425935712448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136646378432).

6425935712448 is an abundant number, since it is smaller than the sum of its proper divisors (13847357044416).

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

6425935712448 is a wasteful number, since it uses less digits than its factorization.

6425935712448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10860 (or 10843 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 6425935712448 in words is "six trillion, four hundred twenty-five billion, nine hundred thirty-five million, seven hundred twelve thousand, four hundred forty-eight".