830537680896 has 1440 divisors, whose sum is σ = 3264463762560. Its totient is φ = 205541867520.

The previous prime is 830537680891. The next prime is 830537680963. The reversal of 830537680896 is 698086735038.

830537680896 is a `hidden beast` number, since 8 + 3 + 0 + 537 + 6 + 8 + 0 + 8 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (830537680891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3231664000 + ... + 3231664256.

It is an arithmetic number, because the mean of its divisors is an integer number (2266988724).

Almost surely, 2^830537680896 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 830537680896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632231881280).

830537680896 is an abundant number, since it is smaller than the sum of its proper divisors (2433926081664).

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

830537680896 is a wasteful number, since it uses less digits than its factorization.

830537680896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 830537680896 in words is "eight hundred thirty billion, five hundred thirty-seven million, six hundred eighty thousand, eight hundred ninety-six".