6135600400 has 60 divisors (see below), whose sum is σ = 14751734400. Its totient is φ = 2452416640.

The previous prime is 6135600353. The next prime is 6135600409. The reversal of 6135600400 is 40065316.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6135600409) by changing a digit.

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, 618681 + ... + 628519.

It is an arithmetic number, because the mean of its divisors is an integer number (245862240).

Almost surely, 2^6135600400 is an apocalyptic number.

It is an amenable number.

6135600400 is an abundant number, since it is smaller than the sum of its proper divisors (8616134000).

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

6135600400 is a wasteful number, since it uses less digits than its factorization.

6135600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11416 (or 11405 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 6135600400 is about 78330.0734073446. The cubic root of 6135600400 is about 1830.7077597195.

Adding to 6135600400 its reverse (40065316), we get a palindrome (6175665716).

The spelling of 6135600400 in words is "six billion, one hundred thirty-five million, six hundred thousand, four hundred".