6506784000 has 576 divisors, whose sum is σ = 25483610880. Its totient is φ = 1629388800.

The previous prime is 6506783989. The next prime is 6506784001. The reversal of 6506784000 is 4876056.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6506784001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14687779 + ... + 14688221.

It is an arithmetic number, because the mean of its divisors is an integer number (44242380).

Almost surely, 2^6506784000 is an apocalyptic number.

6506784000 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 6506784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12741805440).

6506784000 is an abundant number, since it is smaller than the sum of its proper divisors (18976826880).

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

6506784000 is a wasteful number, since it uses less digits than its factorization.

6506784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6506784000 is about 80664.6390929756. The cubic root of 6506784000 is about 1866.9046181921.

The spelling of 6506784000 in words is "six billion, five hundred six million, seven hundred eighty-four thousand".