9976147200 has 648 divisors, whose sum is σ = 38063008256. Its totient is φ = 2488320000.

The previous prime is 9976147171. The next prime is 9976147211. The reversal of 9976147200 is 27416799.

9976147200 is a `hidden beast` number, since 9 + 9 + 7 + 614 + 7 + 20 + 0 = 666.

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

It is a congruent number.

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, 66067125 + ... + 66067275.

Almost surely, 2^9976147200 is an apocalyptic number.

9976147200 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 9976147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19031504128).

9976147200 is an abundant number, since it is smaller than the sum of its proper divisors (28086861056).

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

9976147200 is a wasteful number, since it uses less digits than its factorization.

9976147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 9976147200 is about 99880.6647955449. The cubic root of 9976147200 is about 2152.7203495887.

The spelling of 9976147200 in words is "nine billion, nine hundred seventy-six million, one hundred forty-seven thousand, two hundred".