6140418480 has 240 divisors, whose sum is σ = 24808293120. Its totient is φ = 1329633792.

The previous prime is 6140418467. The next prime is 6140418481. The reversal of 6140418480 is 848140416.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6140418481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63699 + ... + 127821.

It is an arithmetic number, because the mean of its divisors is an integer number (103367888).

Almost surely, 2^6140418480 is an apocalyptic number.

6140418480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6140418480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12404146560).

6140418480 is an abundant number, since it is smaller than the sum of its proper divisors (18667874640).

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

6140418480 is a wasteful number, since it uses less digits than its factorization.

6140418480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64168 (or 64159 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6140418480 is about 78360.8223540310. The cubic root of 6140418480 is about 1831.1868320222.

Adding to 6140418480 its reverse (848140416), we get a palindrome (6988558896).

It can be divided in two parts, 614041 and 8480, that added together give a square (622521 = 789²).

The spelling of 6140418480 in words is "six billion, one hundred forty million, four hundred eighteen thousand, four hundred eighty".