496953321984 has 640 divisors, whose sum is σ = 1790960371200. Its totient is φ = 132816568320.

The previous prime is 496953321983. The next prime is 496953321989. The reversal of 496953321984 is 489123359694.

496953321984 is a `hidden beast` number, since 4 + 9 + 6 + 9 + 533 + 2 + 1 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (496953321983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297754302 + ... + 297755970.

It is an arithmetic number, because the mean of its divisors is an integer number (2798375580).

Almost surely, 2^496953321984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496953321984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895480185600).

496953321984 is an abundant number, since it is smaller than the sum of its proper divisors (1294007049216).

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

496953321984 is a wasteful number, since it uses less digits than its factorization.

496953321984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1879 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 496953321984 in words is "four hundred ninety-six billion, nine hundred fifty-three million, three hundred twenty-one thousand, nine hundred eighty-four".