9864400896 has 468 divisors, whose sum is σ = 34183598592. Its totient is φ = 2731180032.

The previous prime is 9864400883. The next prime is 9864400913. The reversal of 9864400896 is 6980044689.

9864400896 is a `hidden beast` number, since 98 + 64 + 400 + 8 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77672385 + ... + 77672511.

Almost surely, 2^9864400896 is an apocalyptic number.

9864400896 is a gapful number since it is divisible by the number (96) 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 9864400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17091799296).

9864400896 is an abundant number, since it is smaller than the sum of its proper divisors (24319197696).

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

9864400896 is a wasteful number, since it uses less digits than its factorization.

9864400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9864400896 is about 99319.6903740643. The cubic root of 9864400896 is about 2144.6523595900.

The spelling of 9864400896 in words is "nine billion, eight hundred sixty-four million, four hundred thousand, eight hundred ninety-six".