6776992784800 has 432 divisors, whose sum is σ = 20656827175320. Its totient is φ = 2156889047040.

The previous prime is 6776992784797. The next prime is 6776992784833. The reversal of 6776992784800 is 84872996776.

It can be written as a sum of positive squares in 12 ways, for example, as 2253493354896 + 4523499429904 = 1501164^2 + 2126852^2 .

It is a super-2 number, since 2×6776992784800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48577546 + ... + 48716854.

Almost surely, 2^{6776992784800} 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 6776992784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10328413587660).

6776992784800 is an abundant number, since it is smaller than the sum of its proper divisors (13879834390520).

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

6776992784800 is a wasteful number, since it uses less digits than its factorization.

6776992784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139433 (or 139413 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 73.

The spelling of 6776992784800 in words is "six trillion, seven hundred seventy-six billion, nine hundred ninety-two million, seven hundred eighty-four thousand, eight hundred".