496028670302880 has 6912 divisors, whose sum is σ = 2326949000183808. Its totient is φ = 97971329433600.

The previous prime is 496028670302821. The next prime is 496028670302887. The reversal of 496028670302880 is 88203076820694.

496028670302880 is a `hidden beast` number, since 4 + 9 + 6 + 0 + 286 + 70 + 3 + 0 + 288 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (496028670302887) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3905737561377 + ... + 3905737561503.

It is an arithmetic number, because the mean of its divisors is an integer number (336653501184).

Almost surely, 2^{496028670302880} is an apocalyptic number.

496028670302880 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 496028670302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163474500091904).

496028670302880 is an abundant number, since it is smaller than the sum of its proper divisors (1830920329880928).

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

496028670302880 is a wasteful number, since it uses less digits than its factorization.

496028670302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 496028670302880 in words is "four hundred ninety-six trillion, twenty-eight billion, six hundred seventy million, three hundred two thousand, eight hundred eighty".