492687303628800 has 1728 divisors, whose sum is σ = 1945111654886400. Its totient is φ = 109655949312000.

The previous prime is 492687303628789. The next prime is 492687303628829. The reversal of 492687303628800 is 8826303786294.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43404743125 + ... + 43404754475.

It is an arithmetic number, because the mean of its divisors is an integer number (1125643318800).

Almost surely, 2^{492687303628800} is an apocalyptic number.

492687303628800 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 492687303628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972555827443200).

492687303628800 is an abundant number, since it is smaller than the sum of its proper divisors (1452424351257600).

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

492687303628800 is a wasteful number, since it uses less digits than its factorization.

492687303628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11552 (or 11520 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 66.

The spelling of 492687303628800 in words is "four hundred ninety-two trillion, six hundred eighty-seven billion, three hundred three million, six hundred twenty-eight thousand, eight hundred".