9879408000 has 1344 divisors, whose sum is σ = 46262230560. Its totient is φ = 2052864000.

The previous prime is 9879407983. The next prime is 9879408001. The reversal of 9879408000 is 8049789.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9879408001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 898127995 + ... + 898128005.

Almost surely, 2^9879408000 is an apocalyptic number.

9879408000 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 9879408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23131115280).

9879408000 is an abundant number, since it is smaller than the sum of its proper divisors (36382822560).

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

9879408000 is an equidigital number, since it uses as much as digits as its factorization.

9879408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

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

The square root of 9879408000 is about 99395.2111522482. The cubic root of 9879408000 is about 2145.7393900704.

The spelling of 9879408000 in words is "nine billion, eight hundred seventy-nine million, four hundred eight thousand".