6777411100040 has 64 divisors (see below), whose sum is σ = 17429145615360. Its totient is φ = 2323481529600.

The previous prime is 6777411099967. The next prime is 6777411100121. The reversal of 6777411100040 is 400011147776.

It is a junction number, because it is equal to n+sod(n) for n = 6777411099967 and 6777411100003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2186534 + ... + 4282026.

It is an arithmetic number, because the mean of its divisors is an integer number (272330400240).

Almost surely, 2^{6777411100040} is an apocalyptic number.

It is an amenable number.

6777411100040 is an abundant number, since it is smaller than the sum of its proper divisors (10651734515320).

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

6777411100040 is a wasteful number, since it uses less digits than its factorization.

6777411100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107062 (or 2107058 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The spelling of 6777411100040 in words is "six trillion, seven hundred seventy-seven billion, four hundred eleven million, one hundred thousand, forty".