6840176640 has 416 divisors, whose sum is σ = 24769584000. Its totient is φ = 1596456960.

The previous prime is 6840176639. The next prime is 6840176641. The reversal of 6840176640 is 466710486.

It is an interprime number because it is at equal distance from previous prime (6840176639) and next prime (6840176641).

It is a junction number, because it is equal to n+sod(n) for n = 6840176592 and 6840176601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6840176641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19599186 + ... + 19599534.

Almost surely, 2^6840176640 is an apocalyptic number.

6840176640 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 6840176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384792000).

6840176640 is an abundant number, since it is smaller than the sum of its proper divisors (17929407360).

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

6840176640 is a wasteful number, since it uses less digits than its factorization.

6840176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 6840176640 is about 82705.3604066871. The cubic root of 6840176640 is about 1898.2603319047.

The spelling of 6840176640 in words is "six billion, eight hundred forty million, one hundred seventy-six thousand, six hundred forty".