6978307200 has 192 divisors, whose sum is σ = 23055280320. Its totient is φ = 1855180800.

The previous prime is 6978307199. The next prime is 6978307223. The reversal of 6978307200 is 27038796.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3810285 + ... + 3812115.

It is an arithmetic number, because the mean of its divisors is an integer number (120079585).

Almost surely, 2^6978307200 is an apocalyptic number.

6978307200 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 6978307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11527640160).

6978307200 is an abundant number, since it is smaller than the sum of its proper divisors (16076973120).

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

6978307200 is a wasteful number, since it uses less digits than its factorization.

6978307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 6978307200 is about 83536.2627844938. The cubic root of 6978307200 is about 1910.9530983272.

The spelling of 6978307200 in words is "six billion, nine hundred seventy-eight million, three hundred seven thousand, two hundred".