6834618670464 has 256 divisors, whose sum is σ = 22079408702400. Its totient is φ = 2068484014080.

The previous prime is 6834618670441. The next prime is 6834618670483. The reversal of 6834618670464 is 4640768164386.

It is a happy number.

6834618670464 is a `hidden beast` number, since 6 + 8 + 3 + 4 + 618 + 6 + 7 + 0 + 4 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1493692 + ... + 3987524.

Almost surely, 2^{6834618670464} is an apocalyptic number.

6834618670464 is a gapful number since it is divisible by the number (64) 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 6834618670464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11039704351200).

6834618670464 is an abundant number, since it is smaller than the sum of its proper divisors (15244790031936).

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

6834618670464 is a wasteful number, since it uses less digits than its factorization.

6834618670464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493930 (or 2493912 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 6834618670464 in words is "six trillion, eight hundred thirty-four billion, six hundred eighteen million, six hundred seventy thousand, four hundred sixty-four".