6416768529270 has 384 divisors, whose sum is σ = 19481554415232. Its totient is φ = 1460203683840.

The previous prime is 6416768529247. The next prime is 6416768529313. The reversal of 6416768529270 is 729258676146.

6416768529270 is a `hidden beast` number, since 6 + 4 + 16 + 76 + 8 + 529 + 27 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6416768529198 and 6416768529207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 808458742 + ... + 808466678.

It is an arithmetic number, because the mean of its divisors is an integer number (50733214623).

Almost surely, 2^{6416768529270} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6416768529270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9740777207616).

6416768529270 is an abundant number, since it is smaller than the sum of its proper divisors (13064785885962).

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

6416768529270 is a wasteful number, since it uses less digits than its factorization.

6416768529270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8397 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 6416768529270 in words is "six trillion, four hundred sixteen billion, seven hundred sixty-eight million, five hundred twenty-nine thousand, two hundred seventy".