830328869664 has 432 divisors, whose sum is σ = 2895802509600. Its totient is φ = 224402669568.

The previous prime is 830328869641. The next prime is 830328869677. The reversal of 830328869664 is 466968823038.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206188419 + ... + 206192445.

It is an arithmetic number, because the mean of its divisors is an integer number (6703246550).

Almost surely, 2^830328869664 is an apocalyptic number.

830328869664 is a gapful number since it is divisible by the number (84) 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 830328869664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447901254800).

830328869664 is an abundant number, since it is smaller than the sum of its proper divisors (2065473639936).

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

830328869664 is a wasteful number, since it uses less digits than its factorization.

830328869664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 830328869664 in words is "eight hundred thirty billion, three hundred twenty-eight million, eight hundred sixty-nine thousand, six hundred sixty-four".