6448559040 has 784 divisors, whose sum is σ = 28783848960. Its totient is φ = 1336227840.

The previous prime is 6448559021. The next prime is 6448559053. The reversal of 6448559040 is 409558446.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17962381 + ... + 17962739.

Almost surely, 2^6448559040 is an apocalyptic number.

6448559040 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 6448559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391924480).

6448559040 is an abundant number, since it is smaller than the sum of its proper divisors (22335289920).

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

6448559040 is a wasteful number, since it uses less digits than its factorization.

6448559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6448559040 is about 80302.9204948363. The cubic root of 6448559040 is about 1861.3193552826.

The spelling of 6448559040 in words is "six billion, four hundred forty-eight million, five hundred fifty-nine thousand, forty".