6780294939600 has 5760 divisors, whose sum is σ = 35008273612800. Its totient is φ = 1211115110400.

The previous prime is 6780294939553. The next prime is 6780294939641. The reversal of 6780294939600 is 69394920876.

6780294939600 is a `hidden beast` number, since 6 + 7 + 80 + 2 + 9 + 493 + 9 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 127930093174 + ... + 127930093226.

It is an arithmetic number, because the mean of its divisors is an integer number (6077825280).

Almost surely, 2^{6780294939600} is an apocalyptic number.

6780294939600 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 6780294939600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17504136806400).

6780294939600 is an abundant number, since it is smaller than the sum of its proper divisors (28227978673200).

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

6780294939600 is a wasteful number, since it uses less digits than its factorization.

6780294939600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 6780294939600 in words is "six trillion, seven hundred eighty billion, two hundred ninety-four million, nine hundred thirty-nine thousand, six hundred".