496020381696 has 560 divisors, whose sum is σ = 1767552171264. Its totient is φ = 135529168896.

The previous prime is 496020381643. The next prime is 496020381707. The reversal of 496020381696 is 696183020694.

496020381696 is a `hidden beast` number, since 496 + 0 + 20 + 38 + 16 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106829551 + ... + 106834193.

Almost surely, 2^496020381696 is an apocalyptic number.

496020381696 is a gapful number since it is divisible by the number (46) 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 496020381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883776085632).

496020381696 is an abundant number, since it is smaller than the sum of its proper divisors (1271531789568).

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

496020381696 is an equidigital number, since it uses as much as digits as its factorization.

496020381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 496020381696 in words is "four hundred ninety-six billion, twenty million, three hundred eighty-one thousand, six hundred ninety-six".