989680469400 has 960 divisors, whose sum is σ = 4244721624000. Its totient is φ = 212885729280.

The previous prime is 989680469399. The next prime is 989680469419. The reversal of 989680469400 is 4964086989.

989680469400 is a `hidden beast` number, since 9 + 8 + 96 + 80 + 4 + 69 + 400 = 666.

989680469400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 94456962 + ... + 94467438.

It is an arithmetic number, because the mean of its divisors is an integer number (4421585025).

Almost surely, 2^989680469400 is an apocalyptic number.

989680469400 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 989680469400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122360812000).

989680469400 is an abundant number, since it is smaller than the sum of its proper divisors (3255041154600).

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

989680469400 is a wasteful number, since it uses less digits than its factorization.

989680469400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10543 (or 10511 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 989680469400 in words is "nine hundred eighty-nine billion, six hundred eighty million, four hundred sixty-nine thousand, four hundred".