6816337920 has 520 divisors, whose sum is σ = 27973116864. Its totient is φ = 1555365888.

The previous prime is 6816337883. The next prime is 6816337933. The reversal of 6816337920 is 297336186.

6816337920 is a `hidden beast` number, since 6 + 8 + 1 + 633 + 7 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11611867 + ... + 11612453.

Almost surely, 2^6816337920 is an apocalyptic number.

6816337920 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 6816337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986558432).

6816337920 is an abundant number, since it is smaller than the sum of its proper divisors (21156778944).

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

6816337920 is an equidigital number, since it uses as much as digits as its factorization.

6816337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6816337920 is about 82561.1162715234. The cubic root of 6816337920 is about 1896.0525542234.

The spelling of 6816337920 in words is "six billion, eight hundred sixteen million, three hundred thirty-seven thousand, nine hundred twenty".