986004049680 has 480 divisors, whose sum is σ = 3619011701760. Its totient is φ = 239117598720.

The previous prime is 986004049669. The next prime is 986004049697. The reversal of 986004049680 is 86940400689.

986004049680 is a `hidden beast` number, since 98 + 60 + 0 + 4 + 0 + 496 + 8 + 0 = 666.

986004049680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 426655725 + ... + 426658035.

It is an arithmetic number, because the mean of its divisors is an integer number (7539607712).

Almost surely, 2^986004049680 is an apocalyptic number.

986004049680 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 986004049680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809505850880).

986004049680 is an abundant number, since it is smaller than the sum of its proper divisors (2633007652080).

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

986004049680 is a wasteful number, since it uses less digits than its factorization.

986004049680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 986004049680 in words is "nine hundred eighty-six billion, four million, forty-nine thousand, six hundred eighty".