6784433664 has 320 divisors, whose sum is σ = 20052764160. Its totient is φ = 2030469120.

The previous prime is 6784433651. The next prime is 6784433693. The reversal of 6784433664 is 4663344876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65868237 + ... + 65868339.

It is an arithmetic number, because the mean of its divisors is an integer number (62664888).

Almost surely, 2^6784433664 is an apocalyptic number.

6784433664 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 6784433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10026382080).

6784433664 is an abundant number, since it is smaller than the sum of its proper divisors (13268330496).

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

6784433664 is a wasteful number, since it uses less digits than its factorization.

6784433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 51.

The square root of 6784433664 is about 82367.6736590272. The cubic root of 6784433664 is about 1893.0897330358.

The spelling of 6784433664 in words is "six billion, seven hundred eighty-four million, four hundred thirty-three thousand, six hundred sixty-four".