6449810640 has 240 divisors, whose sum is σ = 24744809088. Its totient is φ = 1360779264.

The previous prime is 6449810639. The next prime is 6449810681. The reversal of 6449810640 is 460189446.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6449810592 and 6449810601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272562 + ... + 295278.

Almost surely, 2^6449810640 is an apocalyptic number.

6449810640 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 6449810640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12372404544).

6449810640 is an abundant number, since it is smaller than the sum of its proper divisors (18294998448).

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

6449810640 is a wasteful number, since it uses less digits than its factorization.

6449810640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22766 (or 22747 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 6449810640 is about 80310.7131085262. The cubic root of 6449810640 is about 1861.4397685712.

The spelling of 6449810640 in words is "six billion, four hundred forty-nine million, eight hundred ten thousand, six hundred forty".