9819048960 has 704 divisors, whose sum is σ = 40717286400. Its totient is φ = 2197684224.

The previous prime is 9819048949. The next prime is 9819048971. The reversal of 9819048960 is 698409189.

9819048960 is a `hidden beast` number, since 98 + 19 + 0 + 489 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (9819048949) and next prime (9819048971).

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

It is a junction number, because it is equal to n+sod(n) for n = 9819048897 and 9819048906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70640571 + ... + 70640709.

Almost surely, 2^9819048960 is an apocalyptic number.

9819048960 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 9819048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20358643200).

9819048960 is an abundant number, since it is smaller than the sum of its proper divisors (30898237440).

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

9819048960 is a wasteful number, since it uses less digits than its factorization.

9819048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 9819048960 is about 99091.1144351500. The cubic root of 9819048960 is about 2141.3606044554.

The spelling of 9819048960 in words is "nine billion, eight hundred nineteen million, forty-eight thousand, nine hundred sixty".