829934919072 has 180 divisors, whose sum is σ = 2839316474610. Its totient is φ = 237124226304.

The previous prime is 829934919071. The next prime is 829934919089. The reversal of 829934919072 is 270919439928.

It can be written as a sum of positive squares in only one way, i.e., 655575224976 + 174359694096 = 809676^2 + 417564^2 .

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

It is not an unprimeable number, because it can be changed into a prime (829934919071) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3140247 + ... + 3394262.

Almost surely, 2^829934919072 is an apocalyptic number.

It is an amenable number.

829934919072 is an abundant number, since it is smaller than the sum of its proper divisors (2009381555538).

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

829934919072 is a wasteful number, since it uses less digits than its factorization.

829934919072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6534545 (or 6534521 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 829934919072 in words is "eight hundred twenty-nine billion, nine hundred thirty-four million, nine hundred nineteen thousand, seventy-two".