6354640656 has 405 divisors, whose sum is σ = 22712553279. Its totient is φ = 1652990976.

The previous prime is 6354640619. The next prime is 6354640727. The reversal of 6354640656 is 6560464536.

The square root of 6354640656 is 79716.

It is a perfect power (a square), and thus also a powerful number.

6354640656 is a `hidden beast` number, since 6 + 3 + 546 + 40 + 65 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 639280656 + 5715360000 = 25284^2 + 75600^2 .

It is a super-2 number, since 2×6354640656² = 80762915733776220672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 87049836 + ... + 87049908.

Almost surely, 2^6354640656 is an apocalyptic number.

6354640656 is the 79716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6354640656

6354640656 is an abundant number, since it is smaller than the sum of its proper divisors (16357912623).

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

6354640656 is a wasteful number, since it uses less digits than its factorization.

6354640656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The cubic root of 6354640656 is about 1852.2388921000.

The spelling of 6354640656 in words is "six billion, three hundred fifty-four million, six hundred forty thousand, six hundred fifty-six".