6778369138464 has 192 divisors, whose sum is σ = 24648615290880. Its totient is φ = 1760615343360.

The previous prime is 6778369138439. The next prime is 6778369138469. The reversal of 6778369138464 is 4648319638776.

6778369138464 is a `hidden beast` number, since 6 + 7 + 78 + 3 + 6 + 91 + 3 + 8 + 464 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6778369138392 and 6778369138401.

It is not an unprimeable number, because it can be changed into a prime (6778369138469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50877204 + ... + 51010259.

It is an arithmetic number, because the mean of its divisors is an integer number (128378204640).

Almost surely, 2^{6778369138464} is an apocalyptic number.

It is an amenable number.

6778369138464 is an abundant number, since it is smaller than the sum of its proper divisors (17870246152416).

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

6778369138464 is a wasteful number, since it uses less digits than its factorization.

6778369138464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101887500 (or 101887486 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 6778369138464 in words is "six trillion, seven hundred seventy-eight billion, three hundred sixty-nine million, one hundred thirty-eight thousand, four hundred sixty-four".