6779428876800 has 1200 divisors, whose sum is σ = 25528609814400. Its totient is φ = 1776660480000.

The previous prime is 6779428876733. The next prime is 6779428876813. The reversal of 6779428876800 is 86788249776.

6779428876800 is a `hidden beast` number, since 67 + 7 + 9 + 428 + 87 + 68 + 0 + 0 = 666.

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

It is a Smith number, since the sum of its digits (72) 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 (72).

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, 27009676675 + ... + 27009676925.

It is an arithmetic number, because the mean of its divisors is an integer number (21273841512).

Almost surely, 2^{6779428876800} is an apocalyptic number.

6779428876800 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 6779428876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12764304907200).

6779428876800 is an abundant number, since it is smaller than the sum of its proper divisors (18749180937600).

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

6779428876800 is a wasteful number, since it uses less digits than its factorization.

6779428876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 6779428876800 in words is "six trillion, seven hundred seventy-nine billion, four hundred twenty-eight million, eight hundred seventy-six thousand, eight hundred".