495764805312 has 504 divisors, whose sum is σ = 1718649791040. Its totient is φ = 141283699200.

The previous prime is 495764805293. The next prime is 495764805317. The reversal of 495764805312 is 213508467594.

It is a happy number.

495764805312 is a `hidden beast` number, since 4 + 9 + 576 + 4 + 8 + 0 + 53 + 12 = 666.

495764805312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (495764805317) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 471707187 + ... + 471708237.

It is a 1-persistent number, because it is pandigital, but 2⋅495764805312 = 991529610624 is not.

Almost surely, 2^495764805312 is an apocalyptic number.

495764805312 is a gapful number since it is divisible by the number (42) 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 495764805312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859324895520).

495764805312 is an abundant number, since it is smaller than the sum of its proper divisors (1222884985728).

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

495764805312 is a wasteful number, since it uses less digits than its factorization.

495764805312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 495764805312 in words is "four hundred ninety-five billion, seven hundred sixty-four million, eight hundred five thousand, three hundred twelve".