496216440576 has 720 divisors, whose sum is σ = 1588057511040. Its totient is φ = 153837895680.

The previous prime is 496216440571. The next prime is 496216440631. The reversal of 496216440576 is 675044612694.

496216440576 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 1 + 64 + 4 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496216440571) 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, 2741527206 + ... + 2741527386.

It is an arithmetic number, because the mean of its divisors is an integer number (2205635432).

Almost surely, 2^496216440576 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 496216440576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794028755520).

496216440576 is an abundant number, since it is smaller than the sum of its proper divisors (1091841070464).

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

496216440576 is a wasteful number, since it uses less digits than its factorization.

496216440576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 496216440576 in words is "four hundred ninety-six billion, two hundred sixteen million, four hundred forty thousand, five hundred seventy-six".