9974026800 has 300 divisors, whose sum is σ = 36683484200. Its totient is φ = 2573942400.

The previous prime is 9974026789. The next prime is 9974026807. The reversal of 9974026800 is 86204799.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9974026807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 321742785 + ... + 321742815.

Almost surely, 2^9974026800 is an apocalyptic number.

9974026800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9974026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341742100).

9974026800 is an abundant number, since it is smaller than the sum of its proper divisors (26709457400).

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

9974026800 is an frugal number, since it uses more digits than its factorization.

9974026800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9974026800 is about 99870.0495644215. The cubic root of 9974026800 is about 2152.5678207091.

The spelling of 9974026800 in words is "nine billion, nine hundred seventy-four million, twenty-six thousand, eight hundred".