6859208890368 has 576 divisors, whose sum is σ = 21818513808000. Its totient is φ = 2066969788416.

The previous prime is 6859208890367. The next prime is 6859208890381. The reversal of 6859208890368 is 8630988029586.

6859208890368 is a `hidden beast` number, since 6 + 8 + 59 + 208 + 8 + 9 + 0 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6859208890296 and 6859208890305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6859208890361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915900768 + ... + 915908256.

It is an arithmetic number, because the mean of its divisors is an integer number (37879364250).

Almost surely, 2^{6859208890368} is an apocalyptic number.

6859208890368 is a gapful number since it is divisible by the number (68) 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 6859208890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909256904000).

6859208890368 is an abundant number, since it is smaller than the sum of its proper divisors (14959304917632).

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

6859208890368 is a wasteful number, since it uses less digits than its factorization.

6859208890368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7650 (or 7627 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 6859208890368 in words is "six trillion, eight hundred fifty-nine billion, two hundred eight million, eight hundred ninety thousand, three hundred sixty-eight".