495945536688 has 240 divisors, whose sum is σ = 1724942007360. Its totient is φ = 129758920704.

The previous prime is 495945536687. The next prime is 495945536693. The reversal of 495945536688 is 886635549594.

It is a happy number.

495945536688 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 4 + 5 + 536 + 6 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (495945536687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242928 + ... + 1025136.

It is an arithmetic number, because the mean of its divisors is an integer number (7187258364).

Almost surely, 2^495945536688 is an apocalyptic number.

495945536688 is a gapful number since it is divisible by the number (48) 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 495945536688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862471003680).

495945536688 is an abundant number, since it is smaller than the sum of its proper divisors (1228996470672).

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

495945536688 is a wasteful number, since it uses less digits than its factorization.

495945536688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782284 (or 782275 counting only the distinct ones).

The product of its digits is 1119744000, while the sum is 72.

The spelling of 495945536688 in words is "four hundred ninety-five billion, nine hundred forty-five million, five hundred thirty-six thousand, six hundred eighty-eight".