6978327552000 has 3360 divisors, whose sum is σ = 32363160903216. Its totient is φ = 1486356480000.

The previous prime is 6978327551981. The next prime is 6978327552011. The reversal of 6978327552000 is 2557238796.

6978327552000 is a `hidden beast` number, since 6 + 9 + 7 + 83 + 2 + 7 + 552 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2359885860864 + 4618441691136 = 1536192^2 + 2149056^2 .

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 69092351950 + ... + 69092352050.

Almost surely, 2^{6978327552000} is an apocalyptic number.

6978327552000 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 6978327552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16181580451608).

6978327552000 is an abundant number, since it is smaller than the sum of its proper divisors (25384833351216).

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

6978327552000 is a wasteful number, since it uses less digits than its factorization.

6978327552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 6978327552000 in words is "six trillion, nine hundred seventy-eight billion, three hundred twenty-seven million, five hundred fifty-two thousand".