830536657920 has 704 divisors, whose sum is σ = 3125877081600. Its totient is φ = 208541122560.

The previous prime is 830536657903. The next prime is 830536658009. The reversal of 830536657920 is 29756635038.

It is a happy number.

830536657920 is a `hidden beast` number, since 8 + 3 + 0 + 5 + 3 + 66 + 579 + 2 + 0 = 666.

It is a super-2 number, since 2×830536657920² (a number of 25 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475406487 + ... + 475408233.

Almost surely, 2^830536657920 is an apocalyptic number.

830536657920 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 830536657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562938540800).

830536657920 is an abundant number, since it is smaller than the sum of its proper divisors (2295340423680).

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

830536657920 is a wasteful number, since it uses less digits than its factorization.

830536657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 830536657920 in words is "eight hundred thirty billion, five hundred thirty-six million, six hundred fifty-seven thousand, nine hundred twenty".