6447612810240 has 528 divisors, whose sum is σ = 25543852064640. Its totient is φ = 1473076592640.

The previous prime is 6447612810211. The next prime is 6447612810251. The reversal of 6447612810240 is 420182167446.

6447612810240 is a `hidden beast` number, since 6 + 4 + 4 + 7 + 612 + 8 + 1 + 0 + 24 + 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 47 ways as a sum of consecutive naturals, for example, 1286689335 + ... + 1286694345.

Almost surely, 2^{6447612810240} is an apocalyptic number.

6447612810240 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 6447612810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12771926032320).

6447612810240 is an abundant number, since it is smaller than the sum of its proper divisors (19096239254400).

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

6447612810240 is a wasteful number, since it uses less digits than its factorization.

6447612810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9038 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

Adding to 6447612810240 its reverse (420182167446), we get a palindrome (6867794977686).

The spelling of 6447612810240 in words is "six trillion, four hundred forty-seven billion, six hundred twelve million, eight hundred ten thousand, two hundred forty".