995267658240 has 1280 divisors, whose sum is σ = 3826812211200. Its totient is φ = 247657512960.

The previous prime is 995267658169. The next prime is 995267658241. The reversal of 995267658240 is 42856762599.

995267658240 is a `hidden beast` number, since 9 + 9 + 5 + 2 + 6 + 7 + 6 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (995267658241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7597462975 + ... + 7597463105.

It is an arithmetic number, because the mean of its divisors is an integer number (2989697040).

Almost surely, 2^995267658240 is an apocalyptic number.

995267658240 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 995267658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913406105600).

995267658240 is an abundant number, since it is smaller than the sum of its proper divisors (2831544552960).

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

995267658240 is an equidigital number, since it uses as much as digits as its factorization.

995267658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 995267658240 in words is "nine hundred ninety-five billion, two hundred sixty-seven million, six hundred fifty-eight thousand, two hundred forty".