6854008320 has 640 divisors, whose sum is σ = 27223257600. Its totient is φ = 1624375296.

The previous prime is 6854008319. The next prime is 6854008327. The reversal of 6854008320 is 238004586.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6854008327) 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, 22325607 + ... + 22325913.

It is an arithmetic number, because the mean of its divisors is an integer number (42536340).

Almost surely, 2^6854008320 is an apocalyptic number.

6854008320 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 6854008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611628800).

6854008320 is an abundant number, since it is smaller than the sum of its proper divisors (20369249280).

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

6854008320 is a wasteful number, since it uses less digits than its factorization.

6854008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6854008320 is about 82788.9383915508. The cubic root of 6854008320 is about 1899.5389758635.

The spelling of 6854008320 in words is "six billion, eight hundred fifty-four million, eight thousand, three hundred twenty".