999645753600 has 2160 divisors, whose sum is σ = 4323599452480. Its totient is φ = 225740390400.

The previous prime is 999645753599. The next prime is 999645753679. The reversal of 999645753600 is 6357546999.

999645753600 is a `hidden beast` number, since 9 + 9 + 96 + 4 + 5 + 7 + 536 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4737657495 + ... + 4737657705.

Almost surely, 2^999645753600 is an apocalyptic number.

999645753600 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 999645753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161799726240).

999645753600 is an abundant number, since it is smaller than the sum of its proper divisors (3323953698880).

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

999645753600 is a wasteful number, since it uses less digits than its factorization.

999645753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 999645753600 in words is "nine hundred ninety-nine billion, six hundred forty-five million, seven hundred fifty-three thousand, six hundred".