492690732516000 has 3840 divisors, whose sum is σ = 1997196532531200. Its totient is φ = 118623439872000.

The previous prime is 492690732515977. The next prime is 492690732516001. The reversal of 492690732516000 is 615237096294.

492690732516000 is a `hidden beast` number, since 4 + 9 + 2 + 6 + 9 + 0 + 7 + 3 + 25 + 1 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (492690732516001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1740956651859 + ... + 1740956652141.

It is an arithmetic number, because the mean of its divisors is an integer number (520103263680).

Almost surely, 2^{492690732516000} is an apocalyptic number.

492690732516000 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 492690732516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998598266265600).

492690732516000 is an abundant number, since it is smaller than the sum of its proper divisors (1504505800015200).

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

492690732516000 is a wasteful number, since it uses less digits than its factorization.

492690732516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 492690732516000 in words is "four hundred ninety-two trillion, six hundred ninety billion, seven hundred thirty-two million, five hundred sixteen thousand".