536400004635 has 96 divisors (see below), whose sum is σ = 1034895476160. Its totient is φ = 254840832000.

The previous prime is 536400004631. The next prime is 536400004669.

536400004635 is a `hidden beast` number, since 5 + 3 + 640 + 0 + 0 + 0 + 4 + 6 + 3 + 5 = 666.

536400004635 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 536400004635 - 2² = 536400004631 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 536400004635.

It is not an unprimeable number, because it can be changed into a prime (536400004631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4794211 + ... + 4904819.

It is an arithmetic number, because the mean of its divisors is an integer number (10780161210).

Almost surely, 2^536400004635 is an apocalyptic number.

536400004635 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

536400004635 is a deficient number, since it is larger than the sum of its proper divisors (498495471525).

536400004635 is a wasteful number, since it uses less digits than its factorization.

536400004635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110829 (or 110826 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 53640000 and 4635, that added together give a palindrome (53644635).

The spelling of 536400004635 in words is "five hundred thirty-six billion, four hundred million, four thousand, six hundred thirty-five".