4635996575364 has 720 divisors, whose sum is σ = 15895526774400. Its totient is φ = 1112264524800.

The previous prime is 4635996575321. The next prime is 4635996575369. The reversal of 4635996575364 is 4635756995364.

4635996575364 is a `hidden beast` number, since 4 + 6 + 35 + 9 + 9 + 6 + 57 + 536 + 4 = 666.

It is a super-2 number, since 2×4635996575364² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4635996575292 and 4635996575301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635996575369) 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 239 ways as a sum of consecutive naturals, for example, 2874144622 + ... + 2874146234.

It is an arithmetic number, because the mean of its divisors is an integer number (22077120520).

Almost surely, 2^{4635996575364} is an apocalyptic number.

4635996575364 is a gapful number since it is divisible by the number (44) 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 4635996575364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947763387200).

4635996575364 is an abundant number, since it is smaller than the sum of its proper divisors (11259530199036).

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

4635996575364 is a wasteful number, since it uses less digits than its factorization.

4635996575364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1696 counting only the distinct ones).

The product of its digits is 2204496000, while the sum is 72.

The spelling of 4635996575364 in words is "four trillion, six hundred thirty-five billion, nine hundred ninety-six million, five hundred seventy-five thousand, three hundred sixty-four".