6820270080 has 208 divisors, whose sum is σ = 23503583040. Its totient is φ = 1678639104.

The previous prime is 6820270057. The next prime is 6820270123. The reversal of 6820270080 is 800720286.

It is a tau number, because it is divible by the number of its divisors (208).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794451 + ... + 802989.

Almost surely, 2^6820270080 is an apocalyptic number.

6820270080 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 6820270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751791520).

6820270080 is an abundant number, since it is smaller than the sum of its proper divisors (16683312960).

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

6820270080 is a wasteful number, since it uses less digits than its factorization.

6820270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584 (or 8562 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6820270080 is about 82584.9264696652. The cubic root of 6820270080 is about 1896.4170778585.

The spelling of 6820270080 in words is "six billion, eight hundred twenty million, two hundred seventy thousand, eighty".