830764636416 has 864 divisors, whose sum is σ = 2981873276928. Its totient is φ = 227322961920.

The previous prime is 830764636313. The next prime is 830764636439. The reversal of 830764636416 is 614636467038.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×830764636416² (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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418098975 + ... + 418100961.

Almost surely, 2^830764636416 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 830764636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490936638464).

830764636416 is an abundant number, since it is smaller than the sum of its proper divisors (2151108640512).

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

830764636416 is a wasteful number, since it uses less digits than its factorization.

830764636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 830764636416 in words is "eight hundred thirty billion, seven hundred sixty-four million, six hundred thirty-six thousand, four hundred sixteen".