994993824000 has 1152 divisors, whose sum is σ = 3840449034240. Its totient is φ = 225792000000.

The previous prime is 994993823983. The next prime is 994993824031. The reversal of 994993824000 is 428399499.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2026463755 + ... + 2026464245.

It is an arithmetic number, because the mean of its divisors is an integer number (3333723120).

Almost surely, 2^994993824000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 994993824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920224517120).

994993824000 is an abundant number, since it is smaller than the sum of its proper divisors (2845455210240).

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

994993824000 is a wasteful number, since it uses less digits than its factorization.

994993824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 994993824000 in words is "nine hundred ninety-four billion, nine hundred ninety-three million, eight hundred twenty-four thousand".