6140284416 has 480 divisors, whose sum is σ = 21908240640. Its totient is φ = 1616412672.

The previous prime is 6140284393. The next prime is 6140284427. The reversal of 6140284416 is 6144820416.

It is a happy number.

6140284416 is a `hidden beast` number, since 614 + 0 + 28 + 4 + 4 + 16 = 666.

It is a super-2 number, since 2×6140284416² = 75406185418744922112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26353036 + ... + 26353268.

It is an arithmetic number, because the mean of its divisors is an integer number (45642168).

Almost surely, 2^6140284416 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 6140284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10954120320).

6140284416 is an abundant number, since it is smaller than the sum of its proper divisors (15767956224).

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

6140284416 is a wasteful number, since it uses less digits than its factorization.

6140284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6140284416 is about 78359.9669218919. The cubic root of 6140284416 is about 1831.1735051337.

The spelling of 6140284416 in words is "six billion, one hundred forty million, two hundred eighty-four thousand, four hundred sixteen".