6827204160 has 336 divisors, whose sum is σ = 27000110592. Its totient is φ = 1551052800.

The previous prime is 6827204107. The next prime is 6827204173. The reversal of 6827204160 is 614027286.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×6827204160² = 93221433284642611200, which contains 22 as substring.

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

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, 3648025 + ... + 3649895.

It is an arithmetic number, because the mean of its divisors is an integer number (80357472).

Almost surely, 2^6827204160 is an apocalyptic number.

6827204160 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 6827204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13500055296).

6827204160 is an abundant number, since it is smaller than the sum of its proper divisors (20172906432).

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

6827204160 is a wasteful number, since it uses less digits than its factorization.

6827204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6827204160 is about 82626.8973155836. The cubic root of 6827204160 is about 1897.0595477141.

The spelling of 6827204160 in words is "six billion, eight hundred twenty-seven million, two hundred four thousand, one hundred sixty".