6777826709420 has 384 divisors, whose sum is σ = 16248466708992. Its totient is φ = 2358352281600.

The previous prime is 6777826709371. The next prime is 6777826709429. The reversal of 6777826709420 is 249076287776.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (6777826709429) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10573832300 + ... + 10573832940.

It is an arithmetic number, because the mean of its divisors is an integer number (42313715388).

Almost surely, 2^{6777826709420} 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 6777826709420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124233354496).

6777826709420 is an abundant number, since it is smaller than the sum of its proper divisors (9470639999572).

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

6777826709420 is a wasteful number, since it uses less digits than its factorization.

6777826709420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 65.

The spelling of 6777826709420 in words is "six trillion, seven hundred seventy-seven billion, eight hundred twenty-six million, seven hundred nine thousand, four hundred twenty".