6776057011072 has 64 divisors (see below), whose sum is σ = 13555270436400. Its totient is φ = 3373954560000.

The previous prime is 6776057011063. The next prime is 6776057011111. The reversal of 6776057011072 is 2701107506776.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×6776057011072³ (a number of 39 digits) contains 333 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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236736922 + ... + 236765542.

Almost surely, 2^{6776057011072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6776057011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777635218200).

6776057011072 is an abundant number, since it is smaller than the sum of its proper divisors (6779213425328).

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

6776057011072 is a wasteful number, since it uses less digits than its factorization.

6776057011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36255 (or 36243 counting only the distinct ones).

The product of its (nonzero) digits is 864360, while the sum is 49.

The spelling of 6776057011072 in words is "six trillion, seven hundred seventy-six billion, fifty-seven million, eleven thousand, seventy-two".