6346987169776 has 320 divisors, whose sum is σ = 15108747264000. Its totient is φ = 2549920988160.

The previous prime is 6346987169741. The next prime is 6346987169801. The reversal of 6346987169776 is 6779617896436.

It is a super-2 number, since 2×6346987169776² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (79).

It is a junction number, because it is equal to n+sod(n) for n = 6346987169696 and 6346987169705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360063075 + ... + 360080701.

It is an arithmetic number, because the mean of its divisors is an integer number (47214835200).

Almost surely, 2^{6346987169776} 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 6346987169776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7554373632000).

6346987169776 is an abundant number, since it is smaller than the sum of its proper divisors (8761760094224).

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

6346987169776 is a wasteful number, since it uses less digits than its factorization.

6346987169776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17820 (or 17814 counting only the distinct ones).

The product of its digits is 3456649728, while the sum is 79.

The spelling of 6346987169776 in words is "six trillion, three hundred forty-six billion, nine hundred eighty-seven million, one hundred sixty-nine thousand, seven hundred seventy-six".