495736111746720 has 384 divisors, whose sum is σ = 1868951249383680. Its totient is φ = 122000742051840.

The previous prime is 495736111746691. The next prime is 495736111746739. The reversal of 495736111746720 is 27647111637594.

495736111746720 is a `hidden beast` number, since 4 + 9 + 5 + 7 + 3 + 611 + 1 + 7 + 4 + 6 + 7 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257207415 + ... + 259127625.

It is an arithmetic number, because the mean of its divisors is an integer number (4867060545270).

Almost surely, 2^{495736111746720} is an apocalyptic number.

495736111746720 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 495736111746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934475624691840).

495736111746720 is an abundant number, since it is smaller than the sum of its proper divisors (1373215137636960).

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

495736111746720 is a wasteful number, since it uses less digits than its factorization.

495736111746720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924845 (or 1924831 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 495736111746720 in words is "four hundred ninety-five trillion, seven hundred thirty-six billion, one hundred eleven million, seven hundred forty-six thousand, seven hundred twenty".