495731867904 has 1728 divisors, whose sum is σ = 2008225094400. Its totient is φ = 119057154048.

The previous prime is 495731867903. The next prime is 495731867927. The reversal of 495731867904 is 409768137594.

495731867904 is a `hidden beast` number, since 49 + 573 + 18 + 6 + 7 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (495731867903) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2769451687 + ... + 2769451865.

It is an arithmetic number, because the mean of its divisors is an integer number (1162167300).

Almost surely, 2^495731867904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495731867904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004112547200).

495731867904 is an abundant number, since it is smaller than the sum of its proper divisors (1512493226496).

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

495731867904 is a wasteful number, since it uses less digits than its factorization.

495731867904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 495731867904 in words is "four hundred ninety-five billion, seven hundred thirty-one million, eight hundred sixty-seven thousand, nine hundred four".