5635136400 has 60 divisors (see below), whose sum is σ = 18051224112. Its totient is φ = 1502702720.

The previous prime is 5635136359. The next prime is 5635136417. The reversal of 5635136400 is 46315365.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2346774 + ... + 2349173.

Almost surely, 2^5635136400 is an apocalyptic number.

5635136400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5635136400 is an abundant number, since it is smaller than the sum of its proper divisors (12416087712).

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

5635136400 is a wasteful number, since it uses less digits than its factorization.

5635136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695968 (or 4695957 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 5635136400 is about 75067.5455839606. The cubic root of 5635136400 is about 1779.5142806342.

The spelling of 5635136400 in words is "five billion, six hundred thirty-five million, one hundred thirty-six thousand, four hundred".