6778435023360 has 2880 divisors, whose sum is σ = 32440941396864. Its totient is φ = 1296412508160.

The previous prime is 6778435023299. The next prime is 6778435023361. The reversal of 6778435023360 is 633205348776.

6778435023360 is a `hidden beast` number, since 6 + 7 + 7 + 8 + 43 + 502 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a junction number, because it is equal to n+sod(n) for n = 6778435023297 and 6778435023306.

It is not an unprimeable number, because it can be changed into a prime (6778435023361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19534394707 + ... + 19534395053.

Almost surely, 2^{6778435023360} is an apocalyptic number.

6778435023360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6778435023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16220470698432).

6778435023360 is an abundant number, since it is smaller than the sum of its proper divisors (25662506373504).

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

6778435023360 is a wasteful number, since it uses less digits than its factorization.

6778435023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 6778435023360 in words is "six trillion, seven hundred seventy-eight billion, four hundred thirty-five million, twenty-three thousand, three hundred sixty".