6842965680 has 240 divisors, whose sum is σ = 23655468096. Its totient is φ = 1771960320.

The previous prime is 6842965667. The next prime is 6842965693. The reversal of 6842965680 is 865692486.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6842965667) and next prime (6842965693).

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

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, 3929610 + ... + 3931350.

Almost surely, 2^6842965680 is an apocalyptic number.

6842965680 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 6842965680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11827734048).

6842965680 is an abundant number, since it is smaller than the sum of its proper divisors (16812502416).

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

6842965680 is a wasteful number, since it uses less digits than its factorization.

6842965680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6842965680 is about 82722.2199895530. The cubic root of 6842965680 is about 1898.5182981757.

The spelling of 6842965680 in words is "six billion, eight hundred forty-two million, nine hundred sixty-five thousand, six hundred eighty".