9651916800 has 312 divisors, whose sum is σ = 35467685280. Its totient is φ = 2573107200.

The previous prime is 9651916763. The next prime is 9651916831. The reversal of 9651916800 is 86191569.

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 23 ways as a sum of consecutive naturals, for example, 2763055 + ... + 2766545.

Almost surely, 2^9651916800 is an apocalyptic number.

9651916800 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 9651916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17733842640).

9651916800 is an abundant number, since it is smaller than the sum of its proper divisors (25815768480).

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

9651916800 is a wasteful number, since it uses less digits than its factorization.

9651916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 9651916800 is about 98244.1692926354. The cubic root of 9651916800 is about 2129.1414909565.

The spelling of 9651916800 in words is "nine billion, six hundred fifty-one million, nine hundred sixteen thousand, eight hundred".