9915460992 has 512 divisors, whose sum is σ = 32901120000. Its totient is φ = 2926264320.

The previous prime is 9915460991. The next prime is 9915461047. The reversal of 9915460992 is 2990645199.

9915460992 is a `hidden beast` number, since 9 + 9 + 1 + 546 + 0 + 9 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9915460991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78074433 + ... + 78074559.

It is an arithmetic number, because the mean of its divisors is an integer number (64260000).

Almost surely, 2^9915460992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9915460992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560000).

9915460992 is an abundant number, since it is smaller than the sum of its proper divisors (22985659008).

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

9915460992 is a wasteful number, since it uses less digits than its factorization.

9915460992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The square root of 9915460992 is about 99576.4078082756. The cubic root of 9915460992 is about 2148.3463752774.

The spelling of 9915460992 in words is "nine billion, nine hundred fifteen million, four hundred sixty thousand, nine hundred ninety-two".