496368012960 has 144 divisors (see below), whose sum is σ = 1756591383456. Its totient is φ = 132364793088.

The previous prime is 496368012949. The next prime is 496368013007. The reversal of 496368012960 is 69210863694.

496368012960 is a `hidden beast` number, since 496 + 3 + 6 + 80 + 12 + 9 + 60 = 666.

496368012960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 496368012897 and 496368012906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6344454 + ... + 6422213.

It is an arithmetic number, because the mean of its divisors is an integer number (12198551274).

Almost surely, 2^496368012960 is an apocalyptic number.

496368012960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496368012960 is an abundant number, since it is smaller than the sum of its proper divisors (1260223370496).

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

496368012960 is a wasteful number, since it uses less digits than its factorization.

496368012960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12766697 (or 12766677 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 496368012960 in words is "four hundred ninety-six billion, three hundred sixty-eight million, twelve thousand, nine hundred sixty".