6777410734401 has 32 divisors (see below), whose sum is σ = 9269808698880. Its totient is φ = 4403193467904.

The previous prime is 6777410734363. The next prime is 6777410734433. The reversal of 6777410734401 is 1044370147776.

It is a happy number.

It is not a de Polignac number, because 6777410734401 - 2¹⁷ = 6777410603329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6777410736401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27613515 + ... + 27857871.

It is an arithmetic number, because the mean of its divisors is an integer number (289681521840).

Almost surely, 2^{6777410734401} is an apocalyptic number.

It is an amenable number.

6777410734401 is a deficient number, since it is larger than the sum of its proper divisors (2492397964479).

6777410734401 is a wasteful number, since it uses less digits than its factorization.

6777410734401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245945.

The product of its (nonzero) digits is 2765952, while the sum is 51.

The spelling of 6777410734401 in words is "six trillion, seven hundred seventy-seven billion, four hundred ten million, seven hundred thirty-four thousand, four hundred one".