7006980240 has 120 divisors (see below), whose sum is σ = 25341945720. Its totient is φ = 1724792832.

The previous prime is 7006980193. The next prime is 7006980241. The reversal of 7006980240 is 420896007.

It can be written as a sum of positive squares in 4 ways, for example, as 182898576 + 6824081664 = 13524^2 + 82608^2 .

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 = 7006980195 and 7006980204.

It is not an unprimeable number, because it can be changed into a prime (7006980241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364945 + ... + 383664.

It is an arithmetic number, because the mean of its divisors is an integer number (211182881).

Almost surely, 2^7006980240 is an apocalyptic number.

It is an amenable number.

7006980240 is an abundant number, since it is smaller than the sum of its proper divisors (18334965480).

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

7006980240 is a wasteful number, since it uses less digits than its factorization.

7006980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748641 (or 748632 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7006980240 is about 83707.7071720400. The cubic root of 7006980240 is about 1913.5668152902.

The spelling of 7006980240 in words is "seven billion, six million, nine hundred eighty thousand, two hundred forty".