6449793343488 has 1344 divisors, whose sum is σ = 22762985817600. Its totient is φ = 1784689459200.

The previous prime is 6449793343471. The next prime is 6449793343501. The reversal of 6449793343488 is 8843433979446.

6449793343488 is a `hidden beast` number, since 6 + 4 + 4 + 9 + 79 + 33 + 43 + 488 = 666.

It is a super-2 number, since 2×6449793343488² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77708353495 + ... + 77708353577.

It is an arithmetic number, because the mean of its divisors is an integer number (16936745400).

Almost surely, 2^{6449793343488} 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 6449793343488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11381492908800).

6449793343488 is an abundant number, since it is smaller than the sum of its proper divisors (16313192474112).

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

6449793343488 is a wasteful number, since it uses less digits than its factorization.

6449793343488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 159 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 72.

The spelling of 6449793343488 in words is "six trillion, four hundred forty-nine billion, seven hundred ninety-three million, three hundred forty-three thousand, four hundred eighty-eight".