495961899264 has 576 divisors, whose sum is σ = 1716410572800. Its totient is φ = 139893350400.

The previous prime is 495961899263. The next prime is 495961899281. The reversal of 495961899264 is 462998169594.

495961899264 is a `hidden beast` number, since 4 + 9 + 596 + 1 + 8 + 9 + 9 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 495961899192 and 495961899201.

It is not an unprimeable number, because it can be changed into a prime (495961899263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52920499 + ... + 52929869.

Almost surely, 2^495961899264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495961899264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858205286400).

495961899264 is an abundant number, since it is smaller than the sum of its proper divisors (1220448673536).

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

495961899264 is a wasteful number, since it uses less digits than its factorization.

495961899264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9459 (or 9439 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 495961899264 in words is "four hundred ninety-five billion, nine hundred sixty-one million, eight hundred ninety-nine thousand, two hundred sixty-four".