6776084160 has 392 divisors, whose sum is σ = 24999305856. Its totient is φ = 1746800640.

The previous prime is 6776084137. The next prime is 6776084177. The reversal of 6776084160 is 614806776.

It is a super-3 number, since 3×6776084160³ (a number of 30 digits) contains 333 as substring.

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 55 ways as a sum of consecutive naturals, for example, 7231212 + ... + 7232148.

Almost surely, 2^6776084160 is an apocalyptic number.

6776084160 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 6776084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499652928).

6776084160 is an abundant number, since it is smaller than the sum of its proper divisors (18223221696).

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

6776084160 is an equidigital number, since it uses as much as digits as its factorization.

6776084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6776084160 is about 82316.9737053058. The cubic root of 6776084160 is about 1892.3128148857.

The spelling of 6776084160 in words is "six billion, seven hundred seventy-six million, eighty-four thousand, one hundred sixty".