6827950080 has 720 divisors, whose sum is σ = 28625251200. Its totient is φ = 1560674304.

The previous prime is 6827950079. The next prime is 6827950109. The reversal of 6827950080 is 800597286.

6827950080 is a `hidden beast` number, since 68 + 2 + 7 + 9 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 975421437 + ... + 975421443.

Almost surely, 2^6827950080 is an apocalyptic number.

6827950080 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 6827950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14312625600).

6827950080 is an abundant number, since it is smaller than the sum of its proper divisors (21797301120).

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

6827950080 is an frugal number, since it uses more digits than its factorization.

6827950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 6827950080 is about 82631.4109766982. The cubic root of 6827950080 is about 1897.1286342242.

6827950080 divided by its product of nonzero digits (241920) gives a square (28224 = 168²).

The spelling of 6827950080 in words is "six billion, eight hundred twenty-seven million, nine hundred fifty thousand, eighty".