9809478000 has 320 divisors, whose sum is σ = 40161239040. Its totient is φ = 2242080000.

The previous prime is 9809477957. The next prime is 9809478011. The reversal of 9809478000 is 8749089.

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 63 ways as a sum of consecutive naturals, for example, 365025 + ... + 390975.

It is an arithmetic number, because the mean of its divisors is an integer number (125503872).

Almost surely, 2^9809478000 is an apocalyptic number.

9809478000 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 9809478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20080619520).

9809478000 is an abundant number, since it is smaller than the sum of its proper divisors (30351761040).

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

9809478000 is a wasteful number, since it uses less digits than its factorization.

9809478000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25990 (or 25968 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9809478000 is about 99042.8089262416. The cubic root of 9809478000 is about 2140.6646260091.

The spelling of 9809478000 in words is "nine billion, eight hundred nine million, four hundred seventy-eight thousand".