995993573760 has 640 divisors, whose sum is σ = 3887694455040. Its totient is φ = 241904517120.

The previous prime is 995993573753. The next prime is 995993573761. The reversal of 995993573760 is 67375399599.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995993573761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27301452 + ... + 27337908.

It is an arithmetic number, because the mean of its divisors is an integer number (6074522586).

Almost surely, 2^995993573760 is an apocalyptic number.

995993573760 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 995993573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943847227520).

995993573760 is an abundant number, since it is smaller than the sum of its proper divisors (2891700881280).

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

995993573760 is a wasteful number, since it uses less digits than its factorization.

995993573760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36536 (or 36515 counting only the distinct ones).

The product of its (nonzero) digits is 434010150, while the sum is 72.

The spelling of 995993573760 in words is "nine hundred ninety-five billion, nine hundred ninety-three million, five hundred seventy-three thousand, seven hundred sixty".