495641571264 has 392 divisors, whose sum is σ = 1710524643968. Its totient is φ = 139492108800.

The previous prime is 495641571263. The next prime is 495641571277. The reversal of 495641571264 is 462175146594.

495641571264 is a `hidden beast` number, since 4 + 9 + 5 + 6 + 4 + 1 + 571 + 2 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 495641571264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495641571263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21870339 + ... + 21892989.

Almost surely, 2^495641571264 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 495641571264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855262321984).

495641571264 is an abundant number, since it is smaller than the sum of its proper divisors (1214883072704).

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

495641571264 is an equidigital number, since it uses as much as digits as its factorization.

495641571264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22755 (or 22730 counting only the distinct ones).

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

The spelling of 495641571264 in words is "four hundred ninety-five billion, six hundred forty-one million, five hundred seventy-one thousand, two hundred sixty-four".