6449473121364 has 1296 divisors, whose sum is σ = 22625131314240. Its totient is φ = 1530802022400.

The previous prime is 6449473121281. The next prime is 6449473121401. The reversal of 6449473121364 is 4631213749446.

6449473121364 is a `hidden beast` number, since 6 + 4 + 4 + 94 + 73 + 121 + 364 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6449473121364.

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 431 ways as a sum of consecutive naturals, for example, 30566223219 + ... + 30566223429.

Almost surely, 2^{6449473121364} 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 6449473121364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11312565657120).

6449473121364 is an abundant number, since it is smaller than the sum of its proper divisors (16175658192876).

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

6449473121364 is a wasteful number, since it uses less digits than its factorization.

6449473121364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 359 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 6449473121364 in words is "six trillion, four hundred forty-nine billion, four hundred seventy-three million, one hundred twenty-one thousand, three hundred sixty-four".