9994795200 has 756 divisors, whose sum is σ = 40548107880. Its totient is φ = 2393763840.

The previous prime is 9994795183. The next prime is 9994795211. The reversal of 9994795200 is 25974999.

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 Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 270129582 + ... + 270129618.

Almost surely, 2^9994795200 is an apocalyptic number.

9994795200 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 9994795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20274053940).

9994795200 is an abundant number, since it is smaller than the sum of its proper divisors (30553312680).

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

9994795200 is a wasteful number, since it uses less digits than its factorization.

9994795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The square root of 9994795200 is about 99973.9726128756. The cubic root of 9994795200 is about 2154.0608451090.

The spelling of 9994795200 in words is "nine billion, nine hundred ninety-four million, seven hundred ninety-five thousand, two hundred".