9662875200 has 504 divisors, whose sum is σ = 38206411776. Its totient is φ = 2296320000.

The previous prime is 9662875177. The next prime is 9662875213. The reversal of 9662875200 is 25782669.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8394625 + ... + 8395775.

Almost surely, 2^9662875200 is an apocalyptic number.

9662875200 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 9662875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19103205888).

9662875200 is an abundant number, since it is smaller than the sum of its proper divisors (28543536576).

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

9662875200 is a wasteful number, since it uses less digits than its factorization.

9662875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9662875200 is about 98299.9247202153. The cubic root of 9662875200 is about 2129.9469668737.

The spelling of 9662875200 in words is "nine billion, six hundred sixty-two million, eight hundred seventy-five thousand, two hundred".