6118368400 has 45 divisors (see below), whose sum is σ = 14703139513. Its totient is φ = 2446721600.

The previous prime is 6118368331. The next prime is 6118368401. The reversal of 6118368400 is 48638116.

The square root of 6118368400 is 78220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2202612624 + 3915755776 = 46932^2 + 62576^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6118368400.

It is not an unprimeable number, because it can be changed into a prime (6118368401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1562445 + ... + 1566355.

Almost surely, 2^6118368400 is an apocalyptic number.

6118368400 is the 78220-th square number.

It is an amenable number.

6118368400 is an abundant number, since it is smaller than the sum of its proper divisors (8584771113).

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

6118368400 is an frugal number, since it uses more digits than its factorization.

6118368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7840 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 6118368400 is about 1828.9922886148.

The spelling of 6118368400 in words is "six billion, one hundred eighteen million, three hundred sixty-eight thousand, four hundred".