6847416051840 has 3584 divisors, whose sum is σ = 32769392140800. Its totient is φ = 1326636859392.

The previous prime is 6847416051799. The next prime is 6847416051869. The reversal of 6847416051840 is 481506147486.

6847416051840 is a `hidden beast` number, since 6 + 8 + 4 + 74 + 16 + 0 + 518 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 447 ways as a sum of consecutive naturals, for example, 38253720871 + ... + 38253721049.

It is an arithmetic number, because the mean of its divisors is an integer number (9143245575).

Almost surely, 2^{6847416051840} is an apocalyptic number.

6847416051840 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 6847416051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384696070400).

6847416051840 is an abundant number, since it is smaller than the sum of its proper divisors (25921976088960).

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

6847416051840 is a wasteful number, since it uses less digits than its factorization.

6847416051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 6847416051840 in words is "six trillion, eight hundred forty-seven billion, four hundred sixteen million, fifty-one thousand, eight hundred forty".