6884849664 has 720 divisors, whose sum is σ = 26360334000. Its totient is φ = 1788272640.

The previous prime is 6884849659. The next prime is 6884849707. The reversal of 6884849664 is 4669484886.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6884849664 is a `hidden beast` number, since 6 + 8 + 8 + 484 + 96 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 625895419 + ... + 625895429.

It is an arithmetic number, because the mean of its divisors is an integer number (36611575).

Almost surely, 2^6884849664 is an apocalyptic number.

6884849664 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 6884849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13180167000).

6884849664 is an abundant number, since it is smaller than the sum of its proper divisors (19475484336).

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

6884849664 is an equidigital number, since it uses as much as digits as its factorization.

6884849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The square root of 6884849664 is about 82974.9942090989. The cubic root of 6884849664 is about 1902.3838650435.

The spelling of 6884849664 in words is "six billion, eight hundred eighty-four million, eight hundred forty-nine thousand, six hundred sixty-four".