6777801578000 has 160 divisors (see below), whose sum is σ = 16497443545440. Its totient is φ = 2693191680000.

The previous prime is 6777801577931. The next prime is 6777801578063. The reversal of 6777801578000 is 8751087776.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3879513243904 + 2898288334096 = 1969648^2 + 1702436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197120810 + ... + 197155190.

It is an arithmetic number, because the mean of its divisors is an integer number (103109022159).

Almost surely, 2^{6777801578000} 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 6777801578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248721772720).

6777801578000 is an abundant number, since it is smaller than the sum of its proper divisors (9719641967440).

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

6777801578000 is a wasteful number, since it uses less digits than its factorization.

6777801578000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35054 (or 35038 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 56.

The spelling of 6777801578000 in words is "six trillion, seven hundred seventy-seven billion, eight hundred one million, five hundred seventy-eight thousand".