7082168000 has 224 divisors, whose sum is σ = 18144305088. Its totient is φ = 2737152000.

The previous prime is 7082167997. The next prime is 7082168017. The reversal of 7082168000 is 8612807.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39127910 + ... + 39128090.

It is an arithmetic number, because the mean of its divisors is an integer number (81001362).

Almost surely, 2^7082168000 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 7082168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072152544).

7082168000 is an abundant number, since it is smaller than the sum of its proper divisors (11062137088).

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

7082168000 is a wasteful number, since it uses less digits than its factorization.

7082168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 7082168000 is about 84155.6177566299. The cubic root of 7082168000 is about 1920.3869301201.

The spelling of 7082168000 in words is "seven billion, eighty-two million, one hundred sixty-eight thousand".