999412761600 has 792 divisors, whose sum is σ = 3937146414240. Its totient is φ = 242207539200.

The previous prime is 999412761539. The next prime is 999412761623. The reversal of 999412761600 is 6167214999.

It is a happy number.

999412761600 is a `hidden beast` number, since 9 + 9 + 9 + 4 + 1 + 27 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 306660771 + ... + 306664029.

Almost surely, 2^999412761600 is an apocalyptic number.

999412761600 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 999412761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968573207120).

999412761600 is an abundant number, since it is smaller than the sum of its proper divisors (2937733652640).

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

999412761600 is a wasteful number, since it uses less digits than its factorization.

999412761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 999412761600 in words is "nine hundred ninety-nine billion, four hundred twelve million, seven hundred sixty-one thousand, six hundred".