830296636506 has 128 divisors (see below), whose sum is σ = 2057965056000. Its totient is φ = 246595145472.

The previous prime is 830296636451. The next prime is 830296636619. The reversal of 830296636506 is 605636692038.

830296636506 is a `hidden beast` number, since 83 + 0 + 29 + 6 + 6 + 36 + 506 = 666.

It is a super-3 number, since 3×830296636506³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 24873055 + ... + 24906413.

It is an arithmetic number, because the mean of its divisors is an integer number (16077852000).

Almost surely, 2^830296636506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830296636506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028982528000).

830296636506 is an abundant number, since it is smaller than the sum of its proper divisors (1227668419494).

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

830296636506 is a wasteful number, since it uses less digits than its factorization.

830296636506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34833 (or 34827 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 830296636506 in words is "eight hundred thirty billion, two hundred ninety-six million, six hundred thirty-six thousand, five hundred six".