494093083680 has 576 divisors, whose sum is σ = 2130013428480. Its totient is φ = 106291519488.

The previous prime is 494093083667. The next prime is 494093083721. The reversal of 494093083680 is 86380390494.

It is a happy number.

494093083680 is a `hidden beast` number, since 494 + 0 + 93 + 0 + 8 + 3 + 68 + 0 = 666.

It is a super-2 number, since 2×494093083680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3529909 + ... + 3667211.

It is an arithmetic number, because the mean of its divisors is an integer number (3697939980).

Almost surely, 2^494093083680 is an apocalyptic number.

494093083680 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 494093083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065006714240).

494093083680 is an abundant number, since it is smaller than the sum of its proper divisors (1635920344800).

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

494093083680 is a wasteful number, since it uses less digits than its factorization.

494093083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137358 (or 137337 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 494093083680 in words is "four hundred ninety-four billion, ninety-three million, eighty-three thousand, six hundred eighty".