9830400000 has 252 divisors, whose sum is σ = 32765887224. Its totient is φ = 2621440000.

The previous prime is 9830399989. The next prime is 9830400007. The reversal of 9830400000 is 40389.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9830400007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1966079998 + ... + 1966080002.

It is an arithmetic number, because the mean of its divisors is an integer number (130023362).

Almost surely, 2^9830400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9830400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382943612).

9830400000 is an abundant number, since it is smaller than the sum of its proper divisors (22935487224).

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

9830400000 is an frugal number, since it uses more digits than its factorization.

9830400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 9830400000 is about 99148.3736629099. The cubic root of 9830400000 is about 2142.1854402629.

Adding to 9830400000 its reverse (40389), we get a palindrome (9830440389).

The spelling of 9830400000 in words is "nine billion, eight hundred thirty million, four hundred thousand".