6440280000 has 1120 divisors, whose sum is σ = 28794382848. Its totient is φ = 1228800000.

The previous prime is 6440279987. The next prime is 6440280043. The reversal of 6440280000 is 820446.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 157079980 + ... + 157080020.

Almost surely, 2^6440280000 is an apocalyptic number.

6440280000 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 6440280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397191424).

6440280000 is an abundant number, since it is smaller than the sum of its proper divisors (22354102848).

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

6440280000 is a wasteful number, since it uses less digits than its factorization.

6440280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6440280000 is about 80251.3551287453. The cubic root of 6440280000 is about 1860.5224570021.

The spelling of 6440280000 in words is "six billion, four hundred forty million, two hundred eighty thousand".