995753282420736 has 2400 divisors, whose sum is σ = 3595252985415168. Its totient is φ = 268721360732160.

The previous prime is 995753282420711. The next prime is 995753282420759. The reversal of 995753282420736 is 637024282357599.

995753282420736 is a `hidden beast` number, since 9 + 9 + 5 + 7 + 53 + 2 + 82 + 420 + 73 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2669579845446 + ... + 2669579845818.

Almost surely, 2^{995753282420736} is an apocalyptic number.

995753282420736 is a gapful number since it is divisible by the number (96) 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 995753282420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797626492707584).

995753282420736 is an abundant number, since it is smaller than the sum of its proper divisors (2599499702994432).

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

995753282420736 is a wasteful number, since it uses less digits than its factorization.

995753282420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 995753282420736 in words is "nine hundred ninety-five trillion, seven hundred fifty-three billion, two hundred eighty-two million, four hundred twenty thousand, seven hundred thirty-six".