980402791680 has 864 divisors, whose sum is σ = 3728412979200. Its totient is φ = 236403228672.

The previous prime is 980402791679. The next prime is 980402791703. The reversal of 980402791680 is 86197204089.

980402791680 is a `hidden beast` number, since 9 + 8 + 0 + 402 + 79 + 168 + 0 = 666.

It is a super-2 number, since 2×980402791680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2046769681 + ... + 2046770159.

It is an arithmetic number, because the mean of its divisors is an integer number (4315292800).

Almost surely, 2^980402791680 is an apocalyptic number.

980402791680 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 980402791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864206489600).

980402791680 is an abundant number, since it is smaller than the sum of its proper divisors (2748010187520).

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

980402791680 is a wasteful number, since it uses less digits than its factorization.

980402791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 980402791680 in words is "nine hundred eighty billion, four hundred two million, seven hundred ninety-one thousand, six hundred eighty".