996271718400 has 1368 divisors, whose sum is σ = 4327171297280. Its totient is φ = 214035333120.

The previous prime is 996271718399. The next prime is 996271718413. The reversal of 996271718400 is 4817172699.

996271718400 is a `hidden beast` number, since 9 + 9 + 62 + 7 + 171 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1368).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7844659137 + ... + 7844659263.

Almost surely, 2^996271718400 is an apocalyptic number.

996271718400 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 996271718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163585648640).

996271718400 is an abundant number, since it is smaller than the sum of its proper divisors (3330899578880).

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

996271718400 is a wasteful number, since it uses less digits than its factorization.

996271718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 996271718400 in words is "nine hundred ninety-six billion, two hundred seventy-one million, seven hundred eighteen thousand, four hundred".