9805904640 has 864 divisors, whose sum is σ = 42977765376. Its totient is φ = 2011299840.

The previous prime is 9805904627. The next prime is 9805904651. The reversal of 9805904640 is 464095089.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31530085 + ... + 31530395.

It is an arithmetic number, because the mean of its divisors is an integer number (49742784).

Almost surely, 2^9805904640 is an apocalyptic number.

9805904640 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 9805904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21488882688).

9805904640 is an abundant number, since it is smaller than the sum of its proper divisors (33171860736).

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

9805904640 is a wasteful number, since it uses less digits than its factorization.

9805904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9805904640 is about 99024.7678108866. The cubic root of 9805904640 is about 2140.4046633362.

The spelling of 9805904640 in words is "nine billion, eight hundred five million, nine hundred four thousand, six hundred forty".