494336868480 has 1536 divisors, whose sum is σ = 2258867520000. Its totient is φ = 98712649728.

The previous prime is 494336868479. The next prime is 494336868527. The reversal of 494336868480 is 84868633494.

494336868480 is a `hidden beast` number, since 4 + 9 + 4 + 33 + 68 + 68 + 480 = 666.

It is a super-4 number, since 4×494336868480⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 487992454 + ... + 487993466.

It is an arithmetic number, because the mean of its divisors is an integer number (1470616875).

Almost surely, 2^494336868480 is an apocalyptic number.

494336868480 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 494336868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129433760000).

494336868480 is an abundant number, since it is smaller than the sum of its proper divisors (1764530651520).

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

494336868480 is a wasteful number, since it uses less digits than its factorization.

494336868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 494336868480 in words is "four hundred ninety-four billion, three hundred thirty-six million, eight hundred sixty-eight thousand, four hundred eighty".