6449059580400 has 540 divisors, whose sum is σ = 23620817130768. Its totient is φ = 1626329210880.

The previous prime is 6449059580399. The next prime is 6449059580413. The reversal of 6449059580400 is 40859509446.

6449059580400 is a `hidden beast` number, since 6 + 4 + 4 + 9 + 0 + 59 + 580 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 655853884 + ... + 655863716.

Almost surely, 2^{6449059580400} is an apocalyptic number.

6449059580400 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 6449059580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11810408565384).

6449059580400 is an abundant number, since it is smaller than the sum of its proper divisors (17171757550368).

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

6449059580400 is a wasteful number, since it uses less digits than its factorization.

6449059580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10058 (or 9955 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 6449059580400 in words is "six trillion, four hundred forty-nine billion, fifty-nine million, five hundred eighty thousand, four hundred".