6778576098432 has 320 divisors, whose sum is σ = 21880564314840. Its totient is φ = 2074741309440.

The previous prime is 6778576098421. The next prime is 6778576098451. The reversal of 6778576098432 is 2348906758776.

6778576098432 is a `hidden beast` number, since 6 + 7 + 7 + 8 + 5 + 7 + 609 + 8 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4206863532096 + 2571712566336 = 2051064^2 + 1603656^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6757488 + ... + 7695504.

Almost surely, 2^{6778576098432} 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 6778576098432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10940282157420).

6778576098432 is an abundant number, since it is smaller than the sum of its proper divisors (15101988216408).

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

6778576098432 is a wasteful number, since it uses less digits than its factorization.

6778576098432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938101 (or 938080 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 6778576098432 in words is "six trillion, seven hundred seventy-eight billion, five hundred seventy-six million, ninety-eight thousand, four hundred thirty-two".