6782504064 has 128 divisors (see below), whose sum is σ = 20939212800. Its totient is φ = 1904968704.

The previous prime is 6782504039. The next prime is 6782504087. The reversal of 6782504064 is 4604052876.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6782504064² = 92004722756353032192, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 137209 + ... + 179975.

It is an arithmetic number, because the mean of its divisors is an integer number (163587600).

Almost surely, 2^6782504064 is an apocalyptic number.

6782504064 is a gapful number since it is divisible by the number (64) 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 6782504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10469606400).

6782504064 is an abundant number, since it is smaller than the sum of its proper divisors (14156708736).

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

6782504064 is a wasteful number, since it uses less digits than its factorization.

6782504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42850 (or 42838 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 6782504064 is about 82355.9594929232. The cubic root of 6782504064 is about 1892.9102411529.

The spelling of 6782504064 in words is "six billion, seven hundred eighty-two million, five hundred four thousand, sixty-four".