6449113681920 has 2496 divisors, whose sum is σ = 29229430164480. Its totient is φ = 1278096703488.

The previous prime is 6449113681903. The next prime is 6449113681949. The reversal of 6449113681920 is 291863119446.

6449113681920 is a `hidden beast` number, since 6 + 4 + 4 + 91 + 1 + 368 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28162068366 + ... + 28162068594.

It is an arithmetic number, because the mean of its divisors is an integer number (11710508880).

Almost surely, 2^{6449113681920} is an apocalyptic number.

6449113681920 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 6449113681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614715082240).

6449113681920 is an abundant number, since it is smaller than the sum of its proper divisors (22780316482560).

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

6449113681920 is a wasteful number, since it uses less digits than its factorization.

6449113681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 6449113681920 in words is "six trillion, four hundred forty-nine billion, one hundred thirteen million, six hundred eighty-one thousand, nine hundred twenty".