493686720000 has 1200 divisors, whose sum is σ = 1929399769440. Its totient is φ = 121110528000.

The previous prime is 493686719987. The next prime is 493686720017. The reversal of 493686720000 is 27686394.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1920959872 + ... + 1920960128.

Almost surely, 2^493686720000 is an apocalyptic number.

493686720000 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 493686720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964699884720).

493686720000 is an abundant number, since it is smaller than the sum of its proper divisors (1435713049440).

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

493686720000 is a wasteful number, since it uses less digits than its factorization.

493686720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 493686720000 in words is "four hundred ninety-three billion, six hundred eighty-six million, seven hundred twenty thousand".