495647336390400 has 648 divisors, whose sum is σ = 1840553215794384. Its totient is φ = 131966160076800.

The previous prime is 495647336390341. The next prime is 495647336390407. The reversal of 495647336390400 is 4093633746594.

It is a happy number.

495647336390400 is a `hidden beast` number, since 4 + 9 + 5 + 6 + 473 + 36 + 3 + 90 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×495647336390400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495647336390407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 996634602 + ... + 997131798.

Almost surely, 2^{495647336390400} is an apocalyptic number.

495647336390400 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 495647336390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920276607897192).

495647336390400 is an abundant number, since it is smaller than the sum of its proper divisors (1344905879403984).

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

495647336390400 is an equidigital number, since it uses as much as digits as its factorization.

495647336390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497879 (or 497848 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 63.

The spelling of 495647336390400 in words is "four hundred ninety-five trillion, six hundred forty-seven billion, three hundred thirty-six million, three hundred ninety thousand, four hundred".