6778048320000 has 1200 divisors, whose sum is σ = 25579088071680. Its totient is φ = 1727032320000.

The previous prime is 6778048319981. The next prime is 6778048320011. The reversal of 6778048320000 is 238408776.

It is a happy number.

6778048320000 is a `hidden beast` number, since 6 + 77 + 80 + 483 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85798079961 + ... + 85798080039.

Almost surely, 2^{6778048320000} is an apocalyptic number.

6778048320000 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 6778048320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789544035840).

6778048320000 is an abundant number, since it is smaller than the sum of its proper divisors (18801039751680).

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

6778048320000 is an frugal number, since it uses more digits than its factorization.

6778048320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 6778048320000 in words is "six trillion, seven hundred seventy-eight billion, forty-eight million, three hundred twenty thousand".