6449766144 has 72 divisors (see below), whose sum is σ = 18069287040. Its totient is φ = 2036763648.

The previous prime is 6449766143. The next prime is 6449766173. The reversal of 6449766144 is 4416679446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6449766143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206412 + ... + 235595.

It is an arithmetic number, because the mean of its divisors is an integer number (250962320).

Almost surely, 2^6449766144 is an apocalyptic number.

6449766144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6449766144 is an abundant number, since it is smaller than the sum of its proper divisors (11619520896).

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

6449766144 is a wasteful number, since it uses less digits than its factorization.

6449766144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442045 (or 442031 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 6449766144 is about 80310.4360839860. The cubic root of 6449766144 is about 1861.4354879900.

The spelling of 6449766144 in words is "six billion, four hundred forty-nine million, seven hundred sixty-six thousand, one hundred forty-four".