9818962560 has 640 divisors, whose sum is σ = 38975048640. Its totient is φ = 2335703040.

The previous prime is 9818962553. The next prime is 9818962567. The reversal of 9818962560 is 652698189.

It is a happy number.

9818962560 is a `hidden beast` number, since 9 + 8 + 1 + 8 + 9 + 625 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9818962553) and next prime (9818962567).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 9818962497 and 9818962506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9818962567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38205952 + ... + 38206208.

Almost surely, 2^9818962560 is an apocalyptic number.

9818962560 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 9818962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19487524320).

9818962560 is an abundant number, since it is smaller than the sum of its proper divisors (29156086080).

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

9818962560 is a wasteful number, since it uses less digits than its factorization.

9818962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 9818962560 is about 99090.6784717917. The cubic root of 9818962560 is about 2141.3543236672.

The spelling of 9818962560 in words is "nine billion, eight hundred eighteen million, nine hundred sixty-two thousand, five hundred sixty".