496927532378880 has 2304 divisors, whose sum is σ = 1941781214822400. Its totient is φ = 119923514081280.

The previous prime is 496927532378863. The next prime is 496927532378891. The reversal of 496927532378880 is 88873235729694.

496927532378880 is a `hidden beast` number, since 4 + 9 + 6 + 9 + 2 + 7 + 532 + 3 + 78 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a self number, because there is not a number n which added to its sum of digits gives 496927532378880.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 205087713349 + ... + 205087715771.

It is an arithmetic number, because the mean of its divisors is an integer number (842786985600).

Almost surely, 2^{496927532378880} is an apocalyptic number.

496927532378880 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 496927532378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970890607411200).

496927532378880 is an abundant number, since it is smaller than the sum of its proper divisors (1444853682443520).

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

496927532378880 is a wasteful number, since it uses less digits than its factorization.

496927532378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 81.

The spelling of 496927532378880 in words is "four hundred ninety-six trillion, nine hundred twenty-seven billion, five hundred thirty-two million, three hundred seventy-eight thousand, eight hundred eighty".