6477050116000 has 192 divisors, whose sum is σ = 17039580798240. Its totient is φ = 2411018649600.

The previous prime is 6477050115959. The next prime is 6477050116049. The reversal of 6477050116000 is 6110507746.

It can be written as a sum of positive squares in 16 ways, for example, as 1310502931984 + 5166547184016 = 1144772^2 + 2273004^2 .

It is a super-2 number, since 2×6477050116000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5516884 + ... + 6587116.

Almost surely, 2^{6477050116000} 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 6477050116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519790399120).

6477050116000 is an abundant number, since it is smaller than the sum of its proper divisors (10562530682240).

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

6477050116000 is a wasteful number, since it uses less digits than its factorization.

6477050116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070364 (or 1070346 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 6477050116000 in words is "six trillion, four hundred seventy-seven billion, fifty million, one hundred sixteen thousand".