6380995116672 has 576 divisors, whose sum is σ = 21087037881000. Its totient is φ = 1848354816000.

The previous prime is 6380995116637. The next prime is 6380995116679. The reversal of 6380995116672 is 2766115990836.

6380995116672 is a `hidden beast` number, since 6 + 380 + 9 + 95 + 1 + 166 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5861938268736 + 519056847936 = 2421144^2 + 720456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6380995116679) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 408271354 + ... + 408286982.

Almost surely, 2^{6380995116672} 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 6380995116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10543518940500).

6380995116672 is an abundant number, since it is smaller than the sum of its proper divisors (14706042764328).

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

6380995116672 is a wasteful number, since it uses less digits than its factorization.

6380995116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15801 (or 15775 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 6380995116672 in words is "six trillion, three hundred eighty billion, nine hundred ninety-five million, one hundred sixteen thousand, six hundred seventy-two".