6688292040 has 256 divisors, whose sum is σ = 23211360000. Its totient is φ = 1710987264.

The previous prime is 6688292033. The next prime is 6688292041. The reversal of 6688292040 is 402928866.

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 (6688292041) by changing a digit.

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, 5605684 + ... + 5606876.

It is an arithmetic number, because the mean of its divisors is an integer number (90669375).

Almost surely, 2^6688292040 is an apocalyptic number.

6688292040 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 6688292040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11605680000).

6688292040 is an abundant number, since it is smaller than the sum of its proper divisors (16523067960).

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

6688292040 is a wasteful number, since it uses less digits than its factorization.

6688292040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6688292040 is about 81781.9786994665. The cubic root of 6688292040 is about 1884.1048868540.

The spelling of 6688292040 in words is "six billion, six hundred eighty-eight million, two hundred ninety-two thousand, forty".