830189627136 has 360 divisors, whose sum is σ = 2545557537600. Its totient is φ = 268977217536.

The previous prime is 830189627107. The next prime is 830189627149. The reversal of 830189627136 is 631726981038.

830189627136 is a `hidden beast` number, since 8 + 3 + 0 + 1 + 8 + 9 + 627 + 1 + 3 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145211350 + ... + 145217066.

It is an arithmetic number, because the mean of its divisors is an integer number (7070993160).

Almost surely, 2^830189627136 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 830189627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272778768800).

830189627136 is an abundant number, since it is smaller than the sum of its proper divisors (1715367910464).

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

830189627136 is a wasteful number, since it uses less digits than its factorization.

830189627136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5918 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 830189627136 in words is "eight hundred thirty billion, one hundred eighty-nine million, six hundred twenty-seven thousand, one hundred thirty-six".