6126300400 has 120 divisors (see below), whose sum is σ = 16329312000. Its totient is φ = 2189894400.

The previous prime is 6126300347. The next prime is 6126300413. The reversal of 6126300400 is 40036216.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 247801 + ... + 271399.

It is an arithmetic number, because the mean of its divisors is an integer number (136077600).

Almost surely, 2^6126300400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6126300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164656000).

6126300400 is an abundant number, since it is smaller than the sum of its proper divisors (10203011600).

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

6126300400 is a wasteful number, since it uses less digits than its factorization.

6126300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23687 (or 23676 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 6126300400 is about 78270.6867224250. The cubic root of 6126300400 is about 1829.7823305059.

6126300400 divided by its sum of digits (22) gives a triangular number (278468200 = T₂₃₅₉₉).

Adding to 6126300400 its reverse (40036216), we get a palindrome (6166336616).

The spelling of 6126300400 in words is "six billion, one hundred twenty-six million, three hundred thousand, four hundred".