6777411010401 has 8 divisors (see below), whose sum is σ = 9043007310400. Its totient is φ = 4515044358672.

The previous prime is 6777411010343. The next prime is 6777411010471. The reversal of 6777411010401 is 1040101147776.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 6777411010401 - 2⁷ = 6777411010273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6777411010401.

It is not an unprimeable number, because it can be changed into a prime (6777411010471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 807407170 + ... + 807415563.

It is an arithmetic number, because the mean of its divisors is an integer number (1130375913800).

Almost surely, 2^{6777411010401} is an apocalyptic number.

It is an amenable number.

6777411010401 is a deficient number, since it is larger than the sum of its proper divisors (2265596299999).

6777411010401 is a wasteful number, since it uses less digits than its factorization.

6777411010401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614824135.

The product of its (nonzero) digits is 32928, while the sum is 39.

The spelling of 6777411010401 in words is "six trillion, seven hundred seventy-seven billion, four hundred eleven million, ten thousand, four hundred one".