495820769664 has 256 divisors, whose sum is σ = 1535799605760. Its totient is φ = 140209766400.

The previous prime is 495820769657. The next prime is 495820769699. The reversal of 495820769664 is 466967028594.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 495820769595 and 495820769604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3920994 + ... + 4045470.

It is an arithmetic number, because the mean of its divisors is an integer number (5999217210).

Almost surely, 2^495820769664 is an apocalyptic number.

495820769664 is a gapful number since it is divisible by the number (44) 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 495820769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767899802880).

495820769664 is an abundant number, since it is smaller than the sum of its proper divisors (1039978836096).

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

495820769664 is a wasteful number, since it uses less digits than its factorization.

495820769664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124569 (or 124557 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 495820769664 in words is "four hundred ninety-five billion, eight hundred twenty million, seven hundred sixty-nine thousand, six hundred sixty-four".