492679868695560 has 960 divisors, whose sum is σ = 2051038208419200. Its totient is φ = 103861505359872.

The previous prime is 492679868695541. The next prime is 492679868695561. The reversal of 492679868695560 is 65596868976294.

492679868695560 is a `hidden beast` number, since 49 + 2 + 6 + 7 + 9 + 8 + 6 + 8 + 6 + 9 + 556 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is not an unprimeable number, because it can be changed into a prime (492679868695561) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4549621896 + ... + 4549730184.

It is an arithmetic number, because the mean of its divisors is an integer number (2136498133770).

Almost surely, 2^{492679868695560} is an apocalyptic number.

492679868695560 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 492679868695560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025519104209600).

492679868695560 is an abundant number, since it is smaller than the sum of its proper divisors (1558358339723640).

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

492679868695560 is a wasteful number, since it uses less digits than its factorization.

492679868695560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109532 (or 109506 counting only the distinct ones).

The product of its (nonzero) digits is 84652646400, while the sum is 90.

The spelling of 492679868695560 in words is "four hundred ninety-two trillion, six hundred seventy-nine billion, eight hundred sixty-eight million, six hundred ninety-five thousand, five hundred sixty".