9601846800 has 480 divisors, whose sum is σ = 39512137728. Its totient is φ = 1937295360.

The previous prime is 9601846769. The next prime is 9601846817. The reversal of 9601846800 is 86481069.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2509689 + ... + 2513511.

Almost surely, 2^9601846800 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 9601846800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756068864).

9601846800 is an abundant number, since it is smaller than the sum of its proper divisors (29910290928).

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

9601846800 is a wasteful number, since it uses less digits than its factorization.

9601846800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 9601846800 is about 97989.0136699008. The cubic root of 9601846800 is about 2125.4534155883.

The spelling of 9601846800 in words is "nine billion, six hundred one million, eight hundred forty-six thousand, eight hundred".