839907648216 has 768 divisors, whose sum is σ = 3027577512960. Its totient is φ = 204082053120.

The previous prime is 839907648187. The next prime is 839907648247. The reversal of 839907648216 is 612846709938.

839907648216 is a `hidden beast` number, since 83 + 9 + 9 + 0 + 76 + 482 + 1 + 6 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1798517215 + ... + 1798517681.

It is an arithmetic number, because the mean of its divisors is an integer number (3942158220).

Almost surely, 2^839907648216 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 839907648216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513788756480).

839907648216 is an abundant number, since it is smaller than the sum of its proper divisors (2187669864744).

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

839907648216 is a wasteful number, since it uses less digits than its factorization.

839907648216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 839907648216 in words is "eight hundred thirty-nine billion, nine hundred seven million, six hundred forty-eight thousand, two hundred sixteen".