61222040640 has 168 divisors, whose sum is σ = 210721818840. Its totient is φ = 16314753024.

The previous prime is 61222040611. The next prime is 61222040651. The reversal of 61222040640 is 4604022216.

61222040640 is a `hidden beast` number, since 6 + 12 + 2 + 2 + 0 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8458113024 + 52763927616 = 91968^2 + 229704^2 .

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 23 ways as a sum of consecutive naturals, for example, 4765746 + ... + 4778574.

Almost surely, 2^61222040640 is an apocalyptic number.

61222040640 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 61222040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105360909420).

61222040640 is an abundant number, since it is smaller than the sum of its proper divisors (149499778200).

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

61222040640 is a wasteful number, since it uses less digits than its factorization.

61222040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14509 (or 14496 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 61222040640 its reverse (4604022216), we get a palindrome (65826062856).

The spelling of 61222040640 in words is "sixty-one billion, two hundred twenty-two million, forty thousand, six hundred forty".