9808646400 has 1296 divisors, whose sum is σ = 44837380224. Its totient is φ = 2070282240.

The previous prime is 9808646389. The next prime is 9808646413. The reversal of 9808646400 is 46468089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 185068774 + ... + 185068826.

It is an arithmetic number, because the mean of its divisors is an integer number (34596744).

Almost surely, 2^9808646400 is an apocalyptic number.

9808646400 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 9808646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22418690112).

9808646400 is an abundant number, since it is smaller than the sum of its proper divisors (35028733824).

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

9808646400 is a wasteful number, since it uses less digits than its factorization.

9808646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 9808646400 is about 99038.6106526137. The cubic root of 9808646400 is about 2140.6041325758.

The spelling of 9808646400 in words is "nine billion, eight hundred eight million, six hundred forty-six thousand, four hundred".