495068313600 has 864 divisors, whose sum is σ = 2092086097920. Its totient is φ = 109486080000.

The previous prime is 495068313577. The next prime is 495068313637. The reversal of 495068313600 is 6313860594.

495068313600 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 6 + 8 + 31 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99991125 + ... + 99996075.

Almost surely, 2^495068313600 is an apocalyptic number.

495068313600 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 495068313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046043048960).

495068313600 is an abundant number, since it is smaller than the sum of its proper divisors (1597017784320).

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

495068313600 is a wasteful number, since it uses less digits than its factorization.

495068313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 495068313600 in words is "four hundred ninety-five billion, sixty-eight million, three hundred thirteen thousand, six hundred".