6884040240 has 240 divisors, whose sum is σ = 28823798016. Its totient is φ = 1430438400.

The previous prime is 6884040211. The next prime is 6884040269. The reversal of 6884040240 is 420404886.

6884040240 is a `hidden beast` number, since 6 + 8 + 8 + 404 + 0 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (6884040211) and next prime (6884040269).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 6884040195 and 6884040204.

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, 6646 + ... + 117525.

Almost surely, 2^6884040240 is an apocalyptic number.

6884040240 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 6884040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14411899008).

6884040240 is an abundant number, since it is smaller than the sum of its proper divisors (21939757776).

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

6884040240 is a wasteful number, since it uses less digits than its factorization.

6884040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124208 (or 124199 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 6884040240 is about 82970.1165480681. The cubic root of 6884040240 is about 1902.3093102563.

The spelling of 6884040240 in words is "six billion, eight hundred eighty-four million, forty thousand, two hundred forty".