809269828416 has 1176 divisors, whose sum is σ = 3048422818560. Its totient is φ = 211631616000.

The previous prime is 809269828391. The next prime is 809269828421. The reversal of 809269828416 is 614828962908.

809269828416 is a `hidden beast` number, since 80 + 9 + 2 + 69 + 82 + 8 + 416 = 666.

809269828416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1346538516 + ... + 1346539116.

Almost surely, 2^809269828416 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 809269828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524211409280).

809269828416 is an abundant number, since it is smaller than the sum of its proper divisors (2239152990144).

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

809269828416 is a wasteful number, since it uses less digits than its factorization.

809269828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 809269828416 in words is "eight hundred nine billion, two hundred sixty-nine million, eight hundred twenty-eight thousand, four hundred sixteen".