493372609424640 has 1728 divisors, whose sum is σ = 1963751687718912. Its totient is φ = 117594619084800.

The previous prime is 493372609424561. The next prime is 493372609424689. The reversal of 493372609424640 is 46424906273394.

493372609424640 is a `hidden beast` number, since 4 + 9 + 3 + 3 + 7 + 260 + 94 + 246 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

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, 140521960485 + ... + 140521963995.

Almost surely, 2^{493372609424640} is an apocalyptic number.

493372609424640 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 493372609424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981875843859456).

493372609424640 is an abundant number, since it is smaller than the sum of its proper divisors (1470379078294272).

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

493372609424640 is a wasteful number, since it uses less digits than its factorization.

493372609424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 63.

The spelling of 493372609424640 in words is "four hundred ninety-three trillion, three hundred seventy-two billion, six hundred nine million, four hundred twenty-four thousand, six hundred forty".