480536766477867 has 192 divisors, whose sum is σ = 768361752437760. Its totient is φ = 264569711616000.

The previous prime is 480536766477827. The next prime is 480536766477871. The reversal of 480536766477867 is 768774667635084.

It is not a de Polignac number, because 480536766477867 - 2³² = 480532471510571 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 480536766477867.

It is not an unprimeable number, because it can be changed into a prime (480536766477827) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32278945098 + ... + 32278959984.

It is an arithmetic number, because the mean of its divisors is an integer number (4001884127280).

Almost surely, 2^{480536766477867} is an apocalyptic number.

480536766477867 is a deficient number, since it is larger than the sum of its proper divisors (287824985959893).

480536766477867 is a wasteful number, since it uses less digits than its factorization.

480536766477867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15602 (or 15583 counting only the distinct ones).

The product of its (nonzero) digits is 47795650560, while the sum is 84.

The spelling of 480536766477867 in words is "four hundred eighty trillion, five hundred thirty-six billion, seven hundred sixty-six million, four hundred seventy-seven thousand, eight hundred sixty-seven".