6776064000 has 576 divisors, whose sum is σ = 26010195120. Its totient is φ = 1690828800.

The previous prime is 6776063999. The next prime is 6776064011. The reversal of 6776064000 is 4606776.

6776064000 is a `hidden beast` number, since 6 + 7 + 7 + 6 + 0 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1958593536 + 4817470464 = 44256^2 + 69408^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×6776064000³ (a number of 30 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39167914 + ... + 39168086.

Almost surely, 2^6776064000 is an apocalyptic number.

6776064000 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 6776064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005097560).

6776064000 is an abundant number, since it is smaller than the sum of its proper divisors (19234131120).

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

6776064000 is a wasteful number, since it uses less digits than its factorization.

6776064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 6776064000 is about 82316.8512517334. The cubic root of 6776064000 is about 1892.3109382333.

The spelling of 6776064000 in words is "six billion, seven hundred seventy-six million, sixty-four thousand".