495976693506840 has 4608 divisors, whose sum is σ = 2283448275763200. Its totient is φ = 94421561794560.

The previous prime is 495976693506839. The next prime is 495976693506883. The reversal of 495976693506840 is 48605396679594.

495976693506840 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 7 + 6 + 69 + 3 + 506 + 8 + 40 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 495976693506840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 453775565334 + ... + 453775566426.

It is an arithmetic number, because the mean of its divisors is an integer number (495539990400).

Almost surely, 2^{495976693506840} is an apocalyptic number.

495976693506840 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 495976693506840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141724137881600).

495976693506840 is an abundant number, since it is smaller than the sum of its proper divisors (1787471582256360).

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

495976693506840 is a wasteful number, since it uses less digits than its factorization.

495976693506840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 10581580800, while the sum is 81.

The spelling of 495976693506840 in words is "four hundred ninety-five trillion, nine hundred seventy-six billion, six hundred ninety-three million, five hundred six thousand, eight hundred forty".