9890496000 has 960 divisors, whose sum is σ = 44613144576. Its totient is φ = 2045952000.

The previous prime is 9890495983. The next prime is 9890496013. The reversal of 9890496000 is 6940989.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×9890496000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 44351889 + ... + 44352111.

Almost surely, 2^9890496000 is an apocalyptic number.

9890496000 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 9890496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22306572288).

9890496000 is an abundant number, since it is smaller than the sum of its proper divisors (34722648576).

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

9890496000 is a wasteful number, since it uses less digits than its factorization.

9890496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9890496000 is about 99450.9728459204. The cubic root of 9890496000 is about 2146.5418356912.

The spelling of 9890496000 in words is "nine billion, eight hundred ninety million, four hundred ninety-six thousand".