7086666240 has 640 divisors, whose sum is σ = 27541451520. Its totient is φ = 1719926784.

The previous prime is 7086666221. The next prime is 7086666281. The reversal of 7086666240 is 426666807.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43476399 + ... + 43476561.

It is an arithmetic number, because the mean of its divisors is an integer number (43033518).

Almost surely, 2^7086666240 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 7086666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770725760).

7086666240 is an abundant number, since it is smaller than the sum of its proper divisors (20454785280).

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

7086666240 is a wasteful number, since it uses less digits than its factorization.

7086666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7086666240 is about 84182.3392404844. The cubic root of 7086666240 is about 1920.7934220806.

The spelling of 7086666240 in words is "seven billion, eighty-six million, six hundred sixty-six thousand, two hundred forty".