6140818400 has 144 divisors (see below), whose sum is σ = 15421075488. Its totient is φ = 2386944000.

The previous prime is 6140818393. The next prime is 6140818403. The reversal of 6140818400 is 48180416.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140818403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4145660 + ... + 4147140.

It is an arithmetic number, because the mean of its divisors is an integer number (107090802).

Almost surely, 2^6140818400 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 6140818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710537744).

6140818400 is an abundant number, since it is smaller than the sum of its proper divisors (9280257088).

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

6140818400 is a wasteful number, since it uses less digits than its factorization.

6140818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 6140818400 is about 78363.3740978526. The cubic root of 6140818400 is about 1831.2265856830.

Adding to 6140818400 its reverse (48180416), we get a palindrome (6188998816).

The spelling of 6140818400 in words is "six billion, one hundred forty million, eight hundred eighteen thousand, four hundred".