6853200462864 has 360 divisors, whose sum is σ = 23645167793208. Its totient is φ = 1841162158080.

The previous prime is 6853200462809. The next prime is 6853200462887. The reversal of 6853200462864 is 4682640023586.

It is a happy number.

6853200462864 is a `hidden beast` number, since 6 + 8 + 5 + 3 + 2 + 0 + 0 + 4 + 628 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 241061360400 + 6612139102464 = 490980^2 + 2571408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6853200462864.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131561304 + ... + 131613384.

Almost surely, 2^{6853200462864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6853200462864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822583896604).

6853200462864 is an abundant number, since it is smaller than the sum of its proper divisors (16791967330344).

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

6853200462864 is a wasteful number, since it uses less digits than its factorization.

6853200462864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53223 (or 53207 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 6853200462864 in words is "six trillion, eight hundred fifty-three billion, two hundred million, four hundred sixty-two thousand, eight hundred sixty-four".