6140378016 has 240 divisors, whose sum is σ = 18500106240. Its totient is φ = 1997498880.

The previous prime is 6140377993. The next prime is 6140378047. The reversal of 6140378016 is 6108730416.

6140378016 is a `hidden beast` number, since 614 + 0 + 37 + 8 + 0 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32148481 + ... + 32148671.

It is an arithmetic number, because the mean of its divisors is an integer number (77083776).

Almost surely, 2^6140378016 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 6140378016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250053120).

6140378016 is an abundant number, since it is smaller than the sum of its proper divisors (12359728224).

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

6140378016 is a wasteful number, since it uses less digits than its factorization.

6140378016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6140378016 is about 78360.5641633596. The cubic root of 6140378016 is about 1831.1828096413.

The spelling of 6140378016 in words is "six billion, one hundred forty million, three hundred seventy-eight thousand, sixteen".