6859141697664 has 192 divisors, whose sum is σ = 20941890128640. Its totient is φ = 2147465945088.

The previous prime is 6859141697659. The next prime is 6859141697669. The reversal of 6859141697664 is 4667961419586.

It is a happy number.

6859141697664 is a `hidden beast` number, since 6 + 85 + 9 + 1 + 416 + 9 + 76 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (6859141697659) and next prime (6859141697669).

It is a tau number, because it is divible by the number of its divisors (192).

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 = 6859141697592 and 6859141697601.

It is not an unprimeable number, because it can be changed into a prime (6859141697669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9177817 + ... + 9896999.

It is an arithmetic number, because the mean of its divisors is an integer number (109072344420).

Almost surely, 2^{6859141697664} is an apocalyptic number.

6859141697664 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 6859141697664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10470945064320).

6859141697664 is an abundant number, since it is smaller than the sum of its proper divisors (14082748430976).

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

6859141697664 is a wasteful number, since it uses less digits than its factorization.

6859141697664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719707 (or 719692 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 6859141697664 in words is "six trillion, eight hundred fifty-nine billion, one hundred forty-one million, six hundred ninety-seven thousand, six hundred sixty-four".