6777165938400 has 648 divisors, whose sum is σ = 28230269381496. Its totient is φ = 1516565606400.

The previous prime is 6777165938381. The next prime is 6777165938407. The reversal of 6777165938400 is 48395617776.

6777165938400 is a `hidden beast` number, since 6 + 77 + 71 + 6 + 5 + 93 + 8 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6777165938407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13131634 + ... + 13637966.

It is an arithmetic number, because the mean of its divisors is an integer number (43565230527).

Almost surely, 2^{6777165938400} is an apocalyptic number.

6777165938400 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 6777165938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115134690748).

6777165938400 is an abundant number, since it is smaller than the sum of its proper divisors (21453103443096).

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

6777165938400 is a wasteful number, since it uses less digits than its factorization.

6777165938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506396 (or 506367 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 6777165938400 in words is "six trillion, seven hundred seventy-seven billion, one hundred sixty-five million, nine hundred thirty-eight thousand, four hundred".