6978369355776 has 1440 divisors, whose sum is σ = 26601583776768. Its totient is φ = 1773435617280.

The previous prime is 6978369355759. The next prime is 6978369355813. The reversal of 6978369355776 is 6775539638796.

6978369355776 is a `hidden beast` number, since 6 + 9 + 7 + 8 + 3 + 6 + 9 + 35 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 6978369355695 and 6978369355704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29950082956 + ... + 29950083188.

Almost surely, 2^{6978369355776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6978369355776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300791888384).

6978369355776 is an abundant number, since it is smaller than the sum of its proper divisors (19623214420992).

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

6978369355776 is an equidigital number, since it uses as much as digits as its factorization.

6978369355776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 289 counting only the distinct ones).

The product of its digits is 10802030400, while the sum is 81.

The spelling of 6978369355776 in words is "six trillion, nine hundred seventy-eight billion, three hundred sixty-nine million, three hundred fifty-five thousand, seven hundred seventy-six".