829266768000 has 1024 divisors, whose sum is σ = 3364815168000. Its totient is φ = 199065600000.

The previous prime is 829266767951. The next prime is 829266768007. The reversal of 829266768000 is 867662928.

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

It is not an unprimeable number, because it can be changed into a prime (829266768007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 517967200 + ... + 517968800.

Almost surely, 2^829266768000 is an apocalyptic number.

829266768000 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 829266768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682407584000).

829266768000 is an abundant number, since it is smaller than the sum of its proper divisors (2535548400000).

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

829266768000 is a wasteful number, since it uses less digits than its factorization.

829266768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 829266768000 in words is "eight hundred twenty-nine billion, two hundred sixty-six million, seven hundred sixty-eight thousand".