9819260640 has 576 divisors, whose sum is σ = 40198878720. Its totient is φ = 2217093120.

The previous prime is 9819260621. The next prime is 9819260641. The reversal of 9819260640 is 460629189.

It is a happy number.

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 (9819260641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29665275 + ... + 29665605.

It is an arithmetic number, because the mean of its divisors is an integer number (69789720).

Almost surely, 2^9819260640 is an apocalyptic number.

9819260640 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 9819260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20099439360).

9819260640 is an abundant number, since it is smaller than the sum of its proper divisors (30379618080).

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

9819260640 is a wasteful number, since it uses less digits than its factorization.

9819260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9819260640 is about 99092.1825372718. The cubic root of 9819260640 is about 2141.3759922306.

The spelling of 9819260640 in words is "nine billion, eight hundred nineteen million, two hundred sixty thousand, six hundred forty".