6140816640 has 432 divisors, whose sum is σ = 24458144256. Its totient is φ = 1393459200.

The previous prime is 6140816611. The next prime is 6140816659. The reversal of 6140816640 is 466180416.

6140816640 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 8 + 1 + 6 + 640 = 666.

It is a super-2 number, since 2×6140816640² = 75419258012201779200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6140816595 and 6140816604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21853300 + ... + 21853580.

Almost surely, 2^6140816640 is an apocalyptic number.

6140816640 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 6140816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12229072128).

6140816640 is an abundant number, since it is smaller than the sum of its proper divisors (18317327616).

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

6140816640 is a wasteful number, since it uses less digits than its factorization.

6140816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6140816640 is about 78363.3628681159. The cubic root of 6140816640 is about 1831.2264107357.

The spelling of 6140816640 in words is "six billion, one hundred forty million, eight hundred sixteen thousand, six hundred forty".