6893328960 has 448 divisors, whose sum is σ = 27958694400. Its totient is φ = 1566203904.

The previous prime is 6893328901. The next prime is 6893328961. The reversal of 6893328960 is 698233986.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6893328897 and 6893328906.

It is not an unprimeable number, because it can be changed into a prime (6893328961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17720446 + ... + 17720834.

It is an arithmetic number, because the mean of its divisors is an integer number (62407800).

Almost surely, 2^6893328960 is an apocalyptic number.

6893328960 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 6893328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979347200).

6893328960 is an abundant number, since it is smaller than the sum of its proper divisors (21065365440).

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

6893328960 is a wasteful number, since it uses less digits than its factorization.

6893328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 6893328960 is about 83026.0739767936. The cubic root of 6893328960 is about 1903.1645288205.

The spelling of 6893328960 in words is "six billion, eight hundred ninety-three million, three hundred twenty-eight thousand, nine hundred sixty".