996771695040 has 1344 divisors, whose sum is σ = 4313627136000. Its totient is φ = 207966044160.

The previous prime is 996771694973. The next prime is 996771695041. The reversal of 996771695040 is 40596177699.

996771695040 is a `hidden beast` number, since 9 + 9 + 67 + 7 + 1 + 69 + 504 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996771695041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 296744881 + ... + 296748239.

It is an arithmetic number, because the mean of its divisors is an integer number (3209544000).

Almost surely, 2^996771695040 is an apocalyptic number.

996771695040 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 996771695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156813568000).

996771695040 is an abundant number, since it is smaller than the sum of its proper divisors (3316855440960).

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

996771695040 is a wasteful number, since it uses less digits than its factorization.

996771695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 996771695040 in words is "nine hundred ninety-six billion, seven hundred seventy-one million, six hundred ninety-five thousand, forty".