646772400307 has 48 divisors (see below), whose sum is σ = 726919142400. Its totient is φ = 570668598080.

The previous prime is 646772400257. The next prime is 646772400319. The reversal of 646772400307 is 703004277646.

It is not a de Polignac number, because 646772400307 - 2¹⁵ = 646772367539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (646772400367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1350255294 + ... + 1350255772.

It is an arithmetic number, because the mean of its divisors is an integer number (15144148800).

Almost surely, 2^646772400307 is an apocalyptic number.

646772400307 is a deficient number, since it is larger than the sum of its proper divisors (80146742093).

646772400307 is a wasteful number, since it uses less digits than its factorization.

646772400307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 46.

The spelling of 646772400307 in words is "six hundred forty-six billion, seven hundred seventy-two million, four hundred thousand, three hundred seven".