996862464000 has 1560 divisors, whose sum is σ = 4097562100632. Its totient is φ = 239674982400.

The previous prime is 996862463983. The next prime is 996862464029. The reversal of 996862464000 is 464268699.

996862464000 is a `hidden beast` number, since 9 + 9 + 6 + 8 + 624 + 6 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157044178944 + 839818285056 = 396288^2 + 916416^2 .

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23182847979 + ... + 23182848021.

Almost surely, 2^996862464000 is an apocalyptic number.

996862464000 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 996862464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048781050316).

996862464000 is an abundant number, since it is smaller than the sum of its proper divisors (3100699636632).

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

996862464000 is an equidigital number, since it uses as much as digits as its factorization.

996862464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 996862464000 in words is "nine hundred ninety-six billion, eight hundred sixty-two million, four hundred sixty-four thousand".