496916635776000 has 4224 divisors, whose sum is σ = 1963333495259136. Its totient is φ = 111270297600000.

The previous prime is 496916635775999. The next prime is 496916635776007. The reversal of 496916635776000 is 677536619694.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×496916635776000² (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 (496916635776007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4397492351944 + ... + 4397492352056.

It is an arithmetic number, because the mean of its divisors is an integer number (464804331264).

Almost surely, 2^{496916635776000} is an apocalyptic number.

496916635776000 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 496916635776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981666747629568).

496916635776000 is an abundant number, since it is smaller than the sum of its proper divisors (1466416859483136).

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

496916635776000 is a wasteful number, since it uses less digits than its factorization.

496916635776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 69.

The spelling of 496916635776000 in words is "four hundred ninety-six trillion, nine hundred sixteen billion, six hundred thirty-five million, seven hundred seventy-six thousand".