6978585600 has 396 divisors, whose sum is σ = 28562757184. Its totient is φ = 1594736640.

The previous prime is 6978585583. The next prime is 6978585619. The reversal of 6978585600 is 65858796.

6978585600 is a `hidden beast` number, since 6 + 9 + 78 + 5 + 8 + 560 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1610637 + ... + 1614963.

Almost surely, 2^6978585600 is an apocalyptic number.

6978585600 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 6978585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14281378592).

6978585600 is an abundant number, since it is smaller than the sum of its proper divisors (21584171584).

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

6978585600 is a wasteful number, since it uses less digits than its factorization.

6978585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 6978585600 is about 83537.9291100755. The cubic root of 6978585600 is about 1910.9785105202.

The spelling of 6978585600 in words is "six billion, nine hundred seventy-eight million, five hundred eighty-five thousand, six hundred".