6808919040 has 1056 divisors, whose sum is σ = 31268989440. Its totient is φ = 1327104000.

The previous prime is 6808919009. The next prime is 6808919069. The reversal of 6808919040 is 409198086.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×6808919040² = 92722756986549043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67414990 + ... + 67415090.

Almost surely, 2^6808919040 is an apocalyptic number.

6808919040 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 6808919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15634494720).

6808919040 is an abundant number, since it is smaller than the sum of its proper divisors (24460070400).

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

6808919040 is a wasteful number, since it uses less digits than its factorization.

6808919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6808919040 is about 82516.1744144746. The cubic root of 6808919040 is about 1895.3644186992.

The spelling of 6808919040 in words is "six billion, eight hundred eight million, nine hundred nineteen thousand, forty".