7142945760 has 288 divisors, whose sum is σ = 25907236992. Its totient is φ = 1785937920.

The previous prime is 7142945759. The next prime is 7142945773. The reversal of 7142945760 is 675492417.

7142945760 is a `hidden beast` number, since 71 + 4 + 2 + 9 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×7142945760³ (a number of 31 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 10550542 + ... + 10551218.

It is an arithmetic number, because the mean of its divisors is an integer number (89955684).

Almost surely, 2^7142945760 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 7142945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12953618496).

7142945760 is an abundant number, since it is smaller than the sum of its proper divisors (18764291232).

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

7142945760 is a wasteful number, since it uses less digits than its factorization.

7142945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7142945760 is about 84515.9497373129. The cubic root of 7142945760 is about 1925.8647498378.

The spelling of 7142945760 in words is "seven billion, one hundred forty-two million, nine hundred forty-five thousand, seven hundred sixty".