6348979646208 has 252 divisors, whose sum is σ = 19323130867320. Its totient is φ = 2080452999168.

The previous prime is 6348979646197. The next prime is 6348979646237. The reversal of 6348979646208 is 8026469798436.

6348979646208 is a `hidden beast` number, since 6 + 348 + 9 + 79 + 6 + 4 + 6 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10722510 + ... + 11299122.

Almost surely, 2^{6348979646208} 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 6348979646208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9661565433660).

6348979646208 is an abundant number, since it is smaller than the sum of its proper divisors (12974151221112).

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

6348979646208 is an frugal number, since it uses more digits than its factorization.

6348979646208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576706 (or 576677 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 6348979646208 in words is "six trillion, three hundred forty-eight billion, nine hundred seventy-nine million, six hundred forty-six thousand, two hundred eight".