9846676003920 has 320 divisors, whose sum is σ = 35588618182656. Its totient is φ = 2205677537280.

The previous prime is 9846676003907. The next prime is 9846676003979. The reversal of 9846676003920 is 293006766489.

It is a super-3 number, since 3×9846676003920³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 19672602 + ... + 20166918.

Almost surely, 2^{9846676003920} 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 9846676003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17794309091328).

9846676003920 is an abundant number, since it is smaller than the sum of its proper divisors (25741942178736).

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

9846676003920 is a wasteful number, since it uses less digits than its factorization.

9846676003920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494578 (or 494572 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 9846676003920 in words is "nine trillion, eight hundred forty-six billion, six hundred seventy-six million, three thousand, nine hundred twenty".