6978096224 has 96 divisors (see below), whose sum is σ = 15711687936. Its totient is φ = 3019793920.

The previous prime is 6978096197. The next prime is 6978096239. The reversal of 6978096224 is 4226908796.

It is a Cunningham number, because it is equal to 83535²-1.

It is a super-2 number, since 2×6978096224² = 97387653822806116352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1835894 + ... + 1839690.

It is an arithmetic number, because the mean of its divisors is an integer number (163663416).

Almost surely, 2^6978096224 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 6978096224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7855843968).

6978096224 is an abundant number, since it is smaller than the sum of its proper divisors (8733591712).

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

6978096224 is a wasteful number, since it uses less digits than its factorization.

6978096224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The square root of 6978096224 is about 83534.9999940145. Note that the first 5 decimals coincide. The cubic root of 6978096224 is about 1910.9338401083.

The spelling of 6978096224 in words is "six billion, nine hundred seventy-eight million, ninety-six thousand, two hundred twenty-four".