980829674864640 has 816 divisors, whose sum is σ = 3583511191958880. Its totient is φ = 247485998039040.

The previous prime is 980829674864639. The next prime is 980829674864647. The reversal of 980829674864640 is 46468476928089.

It is a happy number.

980829674864640 is a `hidden beast` number, since 9 + 8 + 0 + 8 + 2 + 9 + 6 + 74 + 86 + 464 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 980829674864640.

It is not an unprimeable number, because it can be changed into a prime (980829674864647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47796377580 + ... + 47796398100.

Almost surely, 2^{980829674864640} is an apocalyptic number.

980829674864640 is a gapful number since it is divisible by the number (90) 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 980829674864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791755595979440).

980829674864640 is an abundant number, since it is smaller than the sum of its proper divisors (2602681517094240).

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

980829674864640 is a wasteful number, since it uses less digits than its factorization.

980829674864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21436 (or 21403 counting only the distinct ones).

The product of its (nonzero) digits is 8026324992, while the sum is 81.

The spelling of 980829674864640 in words is "nine hundred eighty trillion, eight hundred twenty-nine billion, six hundred seventy-four million, eight hundred sixty-four thousand, six hundred forty".