999963849600 has 288 divisors, whose sum is σ = 3569856324840. Its totient is φ = 266525798400.

The previous prime is 999963849587. The next prime is 999963849617. The reversal of 999963849600 is 6948369999.

It is a happy number.

999963849600 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 6 + 3 + 8 + 4 + 9 + 600 = 666.

999963849600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67874235 + ... + 67888965.

Almost surely, 2^999963849600 is an apocalyptic number.

999963849600 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 999963849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784928162420).

999963849600 is an abundant number, since it is smaller than the sum of its proper divisors (2569892475240).

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

999963849600 is a wasteful number, since it uses less digits than its factorization.

999963849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17118 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 204073344, while the sum is 72.

The spelling of 999963849600 in words is "nine hundred ninety-nine billion, nine hundred sixty-three million, eight hundred forty-nine thousand, six hundred".