6449265345600 has 3024 divisors, whose sum is σ = 30593273238528. Its totient is φ = 1259089920000.

The previous prime is 6449265345547. The next prime is 6449265345647. The reversal of 6449265345600 is 65435629446.

6449265345600 is a `hidden beast` number, since 6 + 4 + 4 + 9 + 26 + 5 + 3 + 4 + 5 + 600 = 666.

It is a super-3 number, since 3×6449265345600³ (a number of 39 digits) contains 333 as substring.

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 431 ways as a sum of consecutive naturals, for example, 13989729370 + ... + 13989729830.

Almost surely, 2^{6449265345600} is an apocalyptic number.

6449265345600 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 6449265345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296636619264).

6449265345600 is an abundant number, since it is smaller than the sum of its proper divisors (24144007892928).

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

6449265345600 is a wasteful number, since it uses less digits than its factorization.

6449265345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 6449265345600 in words is "six trillion, four hundred forty-nine billion, two hundred sixty-five million, three hundred forty-five thousand, six hundred".