6875640240 has 320 divisors, whose sum is σ = 25671499776. Its totient is φ = 1488301056.

The previous prime is 6875640223. The next prime is 6875640251. The reversal of 6875640240 is 420465786.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6875640192 and 6875640201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4133649 + ... + 4135311.

Almost surely, 2^6875640240 is an apocalyptic number.

6875640240 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 6875640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12835749888).

6875640240 is an abundant number, since it is smaller than the sum of its proper divisors (18795859536).

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

6875640240 is a wasteful number, since it uses less digits than its factorization.

6875640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 6875640240 is about 82919.4804614694. The cubic root of 6875640240 is about 1901.5352540584.

The spelling of 6875640240 in words is "six billion, eight hundred seventy-five million, six hundred forty thousand, two hundred forty".