492733378368 has 1008 divisors, whose sum is σ = 1903268150784. Its totient is φ = 124914908160.

The previous prime is 492733378363. The next prime is 492733378381. The reversal of 492733378368 is 863873337294.

492733378368 is a `hidden beast` number, since 492 + 7 + 3 + 3 + 3 + 7 + 83 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×492733378368³ (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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492733378363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 360448021 + ... + 360449387.

It is an arithmetic number, because the mean of its divisors is an integer number (1888162848).

Almost surely, 2^492733378368 is an apocalyptic number.

492733378368 is a gapful number since it is divisible by the number (48) 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 492733378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951634075392).

492733378368 is an abundant number, since it is smaller than the sum of its proper divisors (1410534772416).

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

492733378368 is a wasteful number, since it uses less digits than its factorization.

492733378368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1433 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 492733378368 in words is "four hundred ninety-two billion, seven hundred thirty-three million, three hundred seventy-eight thousand, three hundred sixty-eight".