495795569760 has 480 divisors, whose sum is σ = 1933242075072. Its totient is φ = 119023534080.

The previous prime is 495795569677. The next prime is 495795569761. The reversal of 495795569760 is 67965597594.

495795569760 is a `hidden beast` number, since 4 + 9 + 5 + 7 + 9 + 556 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495795569761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5018440 + ... + 5116280.

Almost surely, 2^495795569760 is an apocalyptic number.

495795569760 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 495795569760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966621037536).

495795569760 is an abundant number, since it is smaller than the sum of its proper divisors (1437446505312).

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

495795569760 is a wasteful number, since it uses less digits than its factorization.

495795569760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97908 (or 97891 counting only the distinct ones).

The product of its (nonzero) digits is 642978000, while the sum is 72.

The spelling of 495795569760 in words is "four hundred ninety-five billion, seven hundred ninety-five million, five hundred sixty-nine thousand, seven hundred sixty".