6340726656 has 320 divisors, whose sum is σ = 20993742000. Its totient is φ = 1883381760.

The previous prime is 6340726649. The next prime is 6340726669. The reversal of 6340726656 is 6566270436.

6340726656 is a `hidden beast` number, since 634 + 0 + 7 + 2 + 6 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×6340726656² = 80409629052217884672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6044020 + ... + 6045068.

Almost surely, 2^6340726656 is an apocalyptic number.

6340726656 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 6340726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10496871000).

6340726656 is an abundant number, since it is smaller than the sum of its proper divisors (14653015344).

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

6340726656 is a wasteful number, since it uses less digits than its factorization.

6340726656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 6340726656 is about 79628.6798584530. The cubic root of 6340726656 is about 1850.8860285654.

The spelling of 6340726656 in words is "six billion, three hundred forty million, seven hundred twenty-six thousand, six hundred fifty-six".