6497839656 has 256 divisors, whose sum is σ = 23113728000. Its totient is φ = 1641980160.

The previous prime is 6497839651. The next prime is 6497839679. The reversal of 6497839656 is 6569387946.

6497839656 is a `hidden beast` number, since 6 + 497 + 8 + 3 + 96 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6497839593 and 6497839602.

It is not an unprimeable number, because it can be changed into a prime (6497839651) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 610105 + ... + 620663.

It is an arithmetic number, because the mean of its divisors is an integer number (90288000).

Almost surely, 2^6497839656 is an apocalyptic number.

6497839656 is a gapful number since it is divisible by the number (66) 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 6497839656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556864000).

6497839656 is an abundant number, since it is smaller than the sum of its proper divisors (16615888344).

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

6497839656 is a wasteful number, since it uses less digits than its factorization.

6497839656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10629 (or 10619 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The square root of 6497839656 is about 80609.1784848351. The cubic root of 6497839656 is about 1866.0487988810.

The spelling of 6497839656 in words is "six billion, four hundred ninety-seven million, eight hundred thirty-nine thousand, six hundred fifty-six".