7017240960 has 192 divisors, whose sum is σ = 25657145280. Its totient is φ = 1761165312.

The previous prime is 7017240931. The next prime is 7017240961. The reversal of 7017240960 is 690427107.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7017240961) 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, 62089 + ... + 133751.

It is an arithmetic number, because the mean of its divisors is an integer number (133630965).

Almost surely, 2^7017240960 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 7017240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828572640).

7017240960 is an abundant number, since it is smaller than the sum of its proper divisors (18639904320).

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

7017240960 is a wasteful number, since it uses less digits than its factorization.

7017240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71705 (or 71690 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7017240960 is about 83768.9737313285. The cubic root of 7017240960 is about 1914.5004080031.

The spelling of 7017240960 in words is "seven billion, seventeen million, two hundred forty thousand, nine hundred sixty".