9815953680 has 320 divisors, whose sum is σ = 38555032320. Its totient is φ = 2273992704.

The previous prime is 9815953673. The next prime is 9815953681. The reversal of 9815953680 is 863595189.

It is a happy number.

9815953680 is a `hidden beast` number, since 98 + 15 + 9 + 536 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9815953681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467079 + ... + 487641.

It is an arithmetic number, because the mean of its divisors is an integer number (120484476).

Almost surely, 2^9815953680 is an apocalyptic number.

9815953680 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 9815953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19277516160).

9815953680 is an abundant number, since it is smaller than the sum of its proper divisors (28739078640).

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

9815953680 is a wasteful number, since it uses less digits than its factorization.

9815953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20615 (or 20603 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 9815953680 is about 99075.4948511487. The cubic root of 9815953680 is about 2141.1355722326.

The spelling of 9815953680 in words is "nine billion, eight hundred fifteen million, nine hundred fifty-three thousand, six hundred eighty".