9970495200 has 288 divisors, whose sum is σ = 36522662400. Its totient is φ = 2624693760.

The previous prime is 9970495141. The next prime is 9970495207. The reversal of 9970495200 is 25940799.

9970495200 is a `hidden beast` number, since 99 + 70 + 495 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9970495207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1703479 + ... + 1709321.

It is an arithmetic number, because the mean of its divisors is an integer number (126814800).

Almost surely, 2^9970495200 is an apocalyptic number.

9970495200 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 9970495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18261331200).

9970495200 is an abundant number, since it is smaller than the sum of its proper divisors (26552167200).

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

9970495200 is a wasteful number, since it uses less digits than its factorization.

9970495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 9970495200 is about 99852.3670225198. The cubic root of 9970495200 is about 2152.3137305579.

The spelling of 9970495200 in words is "nine billion, nine hundred seventy million, four hundred ninety-five thousand, two hundred".