6777388800 has 864 divisors, whose sum is σ = 30658037760. Its totient is φ = 1426636800.

The previous prime is 6777388789. The next prime is 6777388831. The reversal of 6777388800 is 88837776.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15724585 + ... + 15725015.

It is an arithmetic number, because the mean of its divisors is an integer number (35483840).

Almost surely, 2^6777388800 is an apocalyptic number.

6777388800 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 6777388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329018880).

6777388800 is an abundant number, since it is smaller than the sum of its proper divisors (23880648960).

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

6777388800 is a wasteful number, since it uses less digits than its factorization.

6777388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 6777388800 is about 82324.8978134805. The cubic root of 6777388800 is about 1892.4342531926.

The spelling of 6777388800 in words is "six billion, seven hundred seventy-seven million, three hundred eighty-eight thousand, eight hundred".