495004481664 has 512 divisors, whose sum is σ = 1751467622400. Its totient is φ = 119978496000.

The previous prime is 495004481581. The next prime is 495004481669. The reversal of 495004481664 is 466184400594.

It is not an unprimeable number, because it can be changed into a prime (495004481669) 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, 37633489 + ... + 37646639.

It is an arithmetic number, because the mean of its divisors is an integer number (3420835200).

Almost surely, 2^495004481664 is an apocalyptic number.

495004481664 is a gapful number since it is divisible by the number (44) 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 495004481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875733811200).

495004481664 is an abundant number, since it is smaller than the sum of its proper divisors (1256463140736).

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

495004481664 is a wasteful number, since it uses less digits than its factorization.

495004481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13272 (or 13260 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 495004481664 in words is "four hundred ninety-five billion, four million, four hundred eighty-one thousand, six hundred sixty-four".