495975956760 has 384 divisors, whose sum is σ = 1803380604480. Its totient is φ = 122129399808.

The previous prime is 495975956747. The next prime is 495975956783. The reversal of 495975956760 is 67659579594.

495975956760 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 7 + 59 + 567 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8729404 + ... + 8786036.

Almost surely, 2^495975956760 is an apocalyptic number.

495975956760 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 495975956760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901690302240).

495975956760 is an abundant number, since it is smaller than the sum of its proper divisors (1307404647720).

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

495975956760 is a wasteful number, since it uses less digits than its factorization.

495975956760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56729 (or 56713 counting only the distinct ones).

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

The spelling of 495975956760 in words is "four hundred ninety-five billion, nine hundred seventy-five million, nine hundred fifty-six thousand, seven hundred sixty".