6777280512 has 288 divisors, whose sum is σ = 20953296000. Its totient is φ = 2105671680.

The previous prime is 6777280493. The next prime is 6777280577. The reversal of 6777280512 is 2150827776.

6777280512 is a `hidden beast` number, since 67 + 7 + 72 + 8 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6777280512² = 91863062276669964288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16570164 + ... + 16570572.

It is an arithmetic number, because the mean of its divisors is an integer number (72754500).

Almost surely, 2^6777280512 is an apocalyptic number.

6777280512 is a gapful number since it is divisible by the number (62) 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 6777280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10476648000).

6777280512 is an abundant number, since it is smaller than the sum of its proper divisors (14176015488).

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

6777280512 is a wasteful number, since it uses less digits than its factorization.

6777280512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 6777280512 is about 82324.2401240364. The cubic root of 6777280512 is about 1892.4241741382.

The spelling of 6777280512 in words is "six billion, seven hundred seventy-seven million, two hundred eighty thousand, five hundred twelve".