495963784800 has 216 divisors, whose sum is σ = 1907882809560. Its totient is φ = 120233625600.

The previous prime is 495963784781. The next prime is 495963784853. The reversal of 495963784800 is 8487369594.

495963784800 is a `hidden beast` number, since 4 + 9 + 596 + 37 + 8 + 4 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×495963784800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3051885 + ... + 3210284.

It is an arithmetic number, because the mean of its divisors is an integer number (8832790785).

Almost surely, 2^495963784800 is an apocalyptic number.

495963784800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495963784800 is an abundant number, since it is smaller than the sum of its proper divisors (1411919024760).

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

495963784800 is a wasteful number, since it uses less digits than its factorization.

495963784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262206 (or 6262190 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 495963784800 in words is "four hundred ninety-five billion, nine hundred sixty-three million, seven hundred eighty-four thousand, eight hundred".