9874636800 has 612 divisors, whose sum is σ = 38909212776. Its totient is φ = 2202009600.

The previous prime is 9874636799. The next prime is 9874636829. The reversal of 9874636800 is 86364789.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240844780 + ... + 240844820.

Almost surely, 2^9874636800 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 9874636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19454606388).

9874636800 is an abundant number, since it is smaller than the sum of its proper divisors (29034575976).

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

9874636800 is an equidigital number, since it uses as much as digits as its factorization.

9874636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 9874636800 is about 99371.2070974284. The cubic root of 9874636800 is about 2145.3939105199.

The spelling of 9874636800 in words is "nine billion, eight hundred seventy-four million, six hundred thirty-six thousand, eight hundred".