829486384960 has 28 divisors (see below), whose sum is σ = 1975214454948. Its totient is φ = 331794553856.

The previous prime is 829486384957. The next prime is 829486384973. The reversal of 829486384960 is 69483684928.

It can be written as a sum of positive squares in 2 ways, for example, as 450316155136 + 379170229824 = 671056^2 + 615768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1296072157 + ... + 1296072796.

It is an arithmetic number, because the mean of its divisors is an integer number (70543373391).

Almost surely, 2^829486384960 is an apocalyptic number.

829486384960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

829486384960 is an abundant number, since it is smaller than the sum of its proper divisors (1145728069988).

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

829486384960 is a wasteful number, since it uses less digits than its factorization.

829486384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592144970 (or 2592144960 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 67.

The spelling of 829486384960 in words is "eight hundred twenty-nine billion, four hundred eighty-six million, three hundred eighty-four thousand, nine hundred sixty".