495032359968 has 144 divisors (see below), whose sum is σ = 1418109638400. Its totient is φ = 163797723648.

The previous prime is 495032359957. The next prime is 495032359981. The reversal of 495032359968 is 869953230594.

495032359968 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 32 + 3 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×495032359968² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94704171 + ... + 94709397.

It is an arithmetic number, because the mean of its divisors is an integer number (9847983600).

Almost surely, 2^495032359968 is an apocalyptic number.

495032359968 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 495032359968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709054819200).

495032359968 is an abundant number, since it is smaller than the sum of its proper divisors (923077278432).

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

495032359968 is a wasteful number, since it uses less digits than its factorization.

495032359968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7599 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 495032359968 in words is "four hundred ninety-five billion, thirty-two million, three hundred fifty-nine thousand, nine hundred sixty-eight".