6497727649840 has 160 divisors (see below), whose sum is σ = 18343402197120. Its totient is φ = 2089588703232.

The previous prime is 6497727649783. The next prime is 6497727649841. The reversal of 6497727649840 is 489467277946.

It is a super-2 number, since 2×6497727649840² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6497727649841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1624626 + ... + 3954094.

It is an arithmetic number, because the mean of its divisors is an integer number (114646263732).

Almost surely, 2^{6497727649840} 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 6497727649840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9171701098560).

6497727649840 is an abundant number, since it is smaller than the sum of its proper divisors (11845674547280).

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

6497727649840 is a wasteful number, since it uses less digits than its factorization.

6497727649840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329799 (or 2329793 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 73.

The spelling of 6497727649840 in words is "six trillion, four hundred ninety-seven billion, seven hundred twenty-seven million, six hundred forty-nine thousand, eight hundred forty".