995633025246720 has 3840 divisors, whose sum is σ = 4384714763151360. Its totient is φ = 209657482444800.

The previous prime is 995633025246719. The next prime is 995633025246757. The reversal of 995633025246720 is 27642520336599.

It is a happy number.

995633025246720 is a `hidden beast` number, since 9 + 9 + 5 + 6 + 3 + 30 + 2 + 524 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1212707703910 + ... + 1212707704730.

It is an arithmetic number, because the mean of its divisors is an integer number (1141852802904).

Almost surely, 2^{995633025246720} is an apocalyptic number.

995633025246720 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 995633025246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192357381575680).

995633025246720 is an abundant number, since it is smaller than the sum of its proper divisors (3389081737904640).

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

995633025246720 is a wasteful number, since it uses less digits than its factorization.

995633025246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 995633025246720 in words is "nine hundred ninety-five trillion, six hundred thirty-three billion, twenty-five million, two hundred forty-six thousand, seven hundred twenty".