495462752640 has 512 divisors, whose sum is σ = 1818585907200. Its totient is φ = 127352217600.

The previous prime is 495462752599. The next prime is 495462752647. The reversal of 495462752640 is 46257264594.

495462752640 is a `hidden beast` number, since 4 + 9 + 5 + 4 + 627 + 5 + 2 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495462752647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145167574 + ... + 145170986.

It is an arithmetic number, because the mean of its divisors is an integer number (3551925600).

Almost surely, 2^495462752640 is an apocalyptic number.

495462752640 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 495462752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909292953600).

495462752640 is an abundant number, since it is smaller than the sum of its proper divisors (1323123154560).

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

495462752640 is a wasteful number, since it uses less digits than its factorization.

495462752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 495462752640 in words is "four hundred ninety-five billion, four hundred sixty-two million, seven hundred fifty-two thousand, six hundred forty".