6416828657316 has 243 divisors, whose sum is σ = 20743574498283. Its totient is φ = 1666404764640.

The previous prime is 6416828657287. The next prime is 6416828657321. The reversal of 6416828657316 is 6137568286146.

The square root of 6416828657316 is 2533146.

It is a perfect power (a square), and thus also a powerful number.

6416828657316 is a `hidden beast` number, since 6 + 41 + 6 + 8 + 2 + 8 + 6 + 573 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1170310711 + ... + 1170316193.

Almost surely, 2^{6416828657316} is an apocalyptic number.

6416828657316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6416828657316 is the 2533146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6416828657316

6416828657316 is an abundant number, since it is smaller than the sum of its proper divisors (14326745840967).

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

6416828657316 is a wasteful number, since it uses less digits than its factorization.

6416828657316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11012 (or 5506 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 6416828657316 in words is "six trillion, four hundred sixteen billion, eight hundred twenty-eight million, six hundred fifty-seven thousand, three hundred sixteen".