493882729704 has 384 divisors, whose sum is σ = 1705079808000. Its totient is φ = 129693747456.

The previous prime is 493882729693. The next prime is 493882729721. The reversal of 493882729704 is 407927288394.

493882729704 is a `hidden beast` number, since 493 + 8 + 8 + 2 + 72 + 9 + 70 + 4 = 666.

It is a super-3 number, since 3×493882729704³ (a number of 36 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 61067149 + ... + 61075235.

It is an arithmetic number, because the mean of its divisors is an integer number (4440312000).

Almost surely, 2^493882729704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493882729704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852539904000).

493882729704 is an abundant number, since it is smaller than the sum of its proper divisors (1211197078296).

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

493882729704 is a wasteful number, since it uses less digits than its factorization.

493882729704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8374 (or 8351 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 493882729704 in words is "four hundred ninety-three billion, eight hundred eighty-two million, seven hundred twenty-nine thousand, seven hundred four".