6978851946000 has 400 divisors, whose sum is σ = 27499785401088. Its totient is φ = 1691842464000.

The previous prime is 6978851945963. The next prime is 6978851946041. The reversal of 6978851946000 is 6491588796.

6978851946000 is a `hidden beast` number, since 6 + 9 + 7 + 8 + 8 + 5 + 19 + 4 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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, 176152 + ... + 3740151.

Almost surely, 2^{6978851946000} is an apocalyptic number.

6978851946000 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 6978851946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749892700544).

6978851946000 is an abundant number, since it is smaller than the sum of its proper divisors (20520933455088).

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

6978851946000 is a wasteful number, since it uses less digits than its factorization.

6978851946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916349 (or 3916324 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 6978851946000 in words is "six trillion, nine hundred seventy-eight billion, eight hundred fifty-one million, nine hundred forty-six thousand".