6282431225280 has 672 divisors, whose sum is σ = 24971382079488. Its totient is φ = 1420058419200.

The previous prime is 6282431225263. The next prime is 6282431225327. The reversal of 6282431225280 is 825221342826.

6282431225280 is a `hidden beast` number, since 6 + 2 + 8 + 2 + 4 + 312 + 252 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6282431225280² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666142165 + ... + 666151595.

Almost surely, 2^{6282431225280} is an apocalyptic number.

6282431225280 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 6282431225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12485691039744).

6282431225280 is an abundant number, since it is smaller than the sum of its proper divisors (18688950854208).

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

6282431225280 is a wasteful number, since it uses less digits than its factorization.

6282431225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825 (or 9812 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 6282431225280 in words is "six trillion, two hundred eighty-two billion, four hundred thirty-one million, two hundred twenty-five thousand, two hundred eighty".