9869428800 has 1680 divisors, whose sum is σ = 48293194752. Its totient is φ = 1916006400.

The previous prime is 9869428787. The next prime is 9869428831. The reversal of 9869428800 is 88249689.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 229521579 + ... + 229521621.

Almost surely, 2^9869428800 is an apocalyptic number.

9869428800 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 9869428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24146597376).

9869428800 is an abundant number, since it is smaller than the sum of its proper divisors (38423765952).

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

9869428800 is a wasteful number, since it uses less digits than its factorization.

9869428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 9869428800 is about 99344.9988675827. The cubic root of 9869428800 is about 2145.0166755024.

The spelling of 9869428800 in words is "nine billion, eight hundred sixty-nine million, four hundred twenty-eight thousand, eight hundred".