6892769664 has 384 divisors, whose sum is σ = 22680646560. Its totient is φ = 1990656000.

The previous prime is 6892769659. The next prime is 6892769687. The reversal of 6892769664 is 4669672986.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28600584 + ... + 28600824.

Almost surely, 2^6892769664 is an apocalyptic number.

6892769664 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 6892769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340323280).

6892769664 is an abundant number, since it is smaller than the sum of its proper divisors (15787876896).

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

6892769664 is a wasteful number, since it uses less digits than its factorization.

6892769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 355 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 6892769664 is about 83022.7057135577. The cubic root of 6892769664 is about 1903.1130558141.

The spelling of 6892769664 in words is "six billion, eight hundred ninety-two million, seven hundred sixty-nine thousand, six hundred sixty-four".