9877658800 has 120 divisors (see below), whose sum is σ = 24102894816. Its totient is φ = 3889643520.

The previous prime is 9877658783. The next prime is 9877658803. The reversal of 9877658800 is 88567789.

It is not an unprimeable number, because it can be changed into a prime (9877658803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8115792 + ... + 8117008.

Almost surely, 2^9877658800 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 9877658800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12051447408).

9877658800 is an abundant number, since it is smaller than the sum of its proper divisors (14225236016).

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

9877658800 is a wasteful number, since it uses less digits than its factorization.

9877658800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 58.

The square root of 9877658800 is about 99386.4115460459. The cubic root of 9877658800 is about 2145.6127445306.

The spelling of 9877658800 in words is "nine billion, eight hundred seventy-seven million, six hundred fifty-eight thousand, eight hundred".