6871962240 has 896 divisors, whose sum is σ = 29218250880. Its totient is φ = 1522851840.

The previous prime is 6871962239. The next prime is 6871962247. The reversal of 6871962240 is 422691786.

It is a happy number.

6871962240 is a `hidden beast` number, since 6 + 8 + 7 + 19 + 622 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6871962247) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 66718029 + ... + 66718131.

It is an arithmetic number, because the mean of its divisors is an integer number (32609655).

Almost surely, 2^6871962240 is an apocalyptic number.

6871962240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6871962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14609125440).

6871962240 is an abundant number, since it is smaller than the sum of its proper divisors (22346288640).

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

6871962240 is a wasteful number, since it uses less digits than its factorization.

6871962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6871962240 is about 82897.2993528740. The cubic root of 6871962240 is about 1901.1961295615.

The spelling of 6871962240 in words is "six billion, eight hundred seventy-one million, nine hundred sixty-two thousand, two hundred forty".