647141040 has 720 divisors, whose sum is σ = 2917500768. Its totient is φ = 126959616.

The previous prime is 647141039. The next prime is 647141059. The reversal of 647141040 is 40141746.

647141040 is a `hidden beast` number, since 647 + 1 + 4 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 647140995 and 647141013.

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 143 ways as a sum of consecutive naturals, for example, 7796839 + ... + 7796921.

Almost surely, 2^647141040 is an apocalyptic number.

647141040 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 647141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458750384).

647141040 is an abundant number, since it is smaller than the sum of its proper divisors (2270359728).

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

647141040 is a wasteful number, since it uses less digits than its factorization.

647141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 647141040 is about 25438.9669601578. The cubic root of 647141040 is about 864.9672167290.

Adding to 647141040 its reverse (40141746), we get a palindrome (687282786).

The spelling of 647141040 in words is "six hundred forty-seven million, one hundred forty-one thousand, forty".