6346169856 has 400 divisors, whose sum is σ = 20795544000. Its totient is φ = 1915011072.

The previous prime is 6346169827. The next prime is 6346169857. The reversal of 6346169856 is 6589616436.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6346169857) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42591670 + ... + 42591818.

It is an arithmetic number, because the mean of its divisors is an integer number (51988860).

Almost surely, 2^6346169856 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 6346169856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10397772000).

6346169856 is an abundant number, since it is smaller than the sum of its proper divisors (14449374144).

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

6346169856 is a wasteful number, since it uses less digits than its factorization.

6346169856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 6346169856 is about 79662.8511666511. The cubic root of 6346169856 is about 1851.4155084322.

The spelling of 6346169856 in words is "six billion, three hundred forty-six million, one hundred sixty-nine thousand, eight hundred fifty-six".