6776965440 has 560 divisors, whose sum is σ = 28253643264. Its totient is φ = 1509580800.

The previous prime is 6776965409. The next prime is 6776965451. The reversal of 6776965440 is 445696776.

6776965440 is a `hidden beast` number, since 6 + 7 + 7 + 6 + 96 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 7438585 + ... + 7439495.

Almost surely, 2^6776965440 is an apocalyptic number.

6776965440 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 6776965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126821632).

6776965440 is an abundant number, since it is smaller than the sum of its proper divisors (21476677824).

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

6776965440 is a wasteful number, since it uses less digits than its factorization.

6776965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 6776965440 is about 82322.3264977369. The cubic root of 6776965440 is about 1892.3948477681.

The spelling of 6776965440 in words is "six billion, seven hundred seventy-six million, nine hundred sixty-five thousand, four hundred forty".