493018928640 has 960 divisors, whose sum is σ = 2071508414976. Its totient is φ = 110027538432.

The previous prime is 493018928543. The next prime is 493018928641. The reversal of 493018928640 is 46829810394.

493018928640 is a `hidden beast` number, since 493 + 0 + 1 + 8 + 92 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493018928641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187244764 + ... + 187247396.

Almost surely, 2^493018928640 is an apocalyptic number.

493018928640 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 493018928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035754207488).

493018928640 is an abundant number, since it is smaller than the sum of its proper divisors (1578489486336).

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

493018928640 is an equidigital number, since it uses as much as digits as its factorization.

493018928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 493018928640 in words is "four hundred ninety-three billion, eighteen million, nine hundred twenty-eight thousand, six hundred forty".