830626836480 has 1248 divisors, whose sum is σ = 3578646589440. Its totient is φ = 173903708160.

The previous prime is 830626836443. The next prime is 830626836491. The reversal of 830626836480 is 84638626038.

It is a happy number.

830626836480 is a `hidden beast` number, since 8 + 3 + 0 + 626 + 8 + 3 + 6 + 4 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 759950814 + ... + 759951906.

It is an arithmetic number, because the mean of its divisors is an integer number (2867505280).

Almost surely, 2^830626836480 is an apocalyptic number.

830626836480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830626836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789323294720).

830626836480 is an abundant number, since it is smaller than the sum of its proper divisors (2748019752960).

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

830626836480 is a wasteful number, since it uses less digits than its factorization.

830626836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 830626836480 in words is "eight hundred thirty billion, six hundred twenty-six million, eight hundred thirty-six thousand, four hundred eighty".