7106282640 has 120 divisors (see below), whose sum is σ = 24221628288. Its totient is φ = 1866712320.

The previous prime is 7106282627. The next prime is 7106282669. The reversal of 7106282640 is 462826017.

7106282640 is a `hidden beast` number, since 7 + 1 + 0 + 6 + 2 + 8 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7106282595 and 7106282604.

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 23 ways as a sum of consecutive naturals, for example, 25416 + ... + 121895.

Almost surely, 2^7106282640 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 7106282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12110814144).

7106282640 is an abundant number, since it is smaller than the sum of its proper divisors (17115345648).

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

7106282640 is a wasteful number, since it uses less digits than its factorization.

7106282640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147397 (or 147388 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7106282640 is about 84298.7700977897. The cubic root of 7106282640 is about 1922.5640872551.

The spelling of 7106282640 in words is "seven billion, one hundred six million, two hundred eighty-two thousand, six hundred forty".