6882654240 has 1152 divisors, whose sum is σ = 32229550080. Its totient is φ = 1354890240.

The previous prime is 6882654227. The next prime is 6882654241. The reversal of 6882654240 is 424562886.

6882654240 is a `hidden beast` number, since 6 + 88 + 26 + 542 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6882654241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362244951 + ... + 362244969.

It is an arithmetic number, because the mean of its divisors is an integer number (27977040).

Almost surely, 2^6882654240 is an apocalyptic number.

6882654240 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 6882654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114775040).

6882654240 is an abundant number, since it is smaller than the sum of its proper divisors (25346895840).

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

6882654240 is a wasteful number, since it uses less digits than its factorization.

6882654240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 6882654240 is about 82961.7637228139. The cubic root of 6882654240 is about 1902.1816343771.

The spelling of 6882654240 in words is "six billion, eight hundred eighty-two million, six hundred fifty-four thousand, two hundred forty".