6353134680816 has 360 divisors, whose sum is σ = 23306251637760. Its totient is φ = 1578417857280.

The previous prime is 6353134680811. The next prime is 6353134680817. The reversal of 6353134680816 is 6180864313536.

6353134680816 is a `hidden beast` number, since 6 + 3 + 531 + 34 + 68 + 0 + 8 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6353134680811) 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, 1672905 + ... + 3937623.

Almost surely, 2^{6353134680816} is an apocalyptic number.

6353134680816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6353134680816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11653125818880).

6353134680816 is an abundant number, since it is smaller than the sum of its proper divisors (16953116956944).

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

6353134680816 is a wasteful number, since it uses less digits than its factorization.

6353134680816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264785 (or 2264765 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 6353134680816 in words is "six trillion, three hundred fifty-three billion, one hundred thirty-four million, six hundred eighty thousand, eight hundred sixteen".