495716682240 has 800 divisors, whose sum is σ = 1921508265600. Its totient is φ = 121422053376.

The previous prime is 495716682173. The next prime is 495716682247. The reversal of 495716682240 is 42286617594.

495716682240 is a `hidden beast` number, since 4 + 9 + 571 + 6 + 6 + 8 + 22 + 40 = 666.

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 (495716682247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 827573461 + ... + 827574059.

It is an arithmetic number, because the mean of its divisors is an integer number (2401885332).

Almost surely, 2^495716682240 is an apocalyptic number.

495716682240 is a gapful number since it is divisible by the number (40) 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 495716682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960754132800).

495716682240 is an abundant number, since it is smaller than the sum of its proper divisors (1425791583360).

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

495716682240 is a wasteful number, since it uses less digits than its factorization.

495716682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 495716682240 in words is "four hundred ninety-five billion, seven hundred sixteen million, six hundred eighty-two thousand, two hundred forty".