61756226064 has 405 divisors, whose sum is σ = 197686923213. Its totient is φ = 18679849344.

The previous prime is 61756226023. The next prime is 61756226069. The reversal of 61756226064 is 46062265716.

The square root of 61756226064 is 248508.

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

61756226064 is a `hidden beast` number, since 6 + 1 + 7 + 562 + 26 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9135536400 + 52620689664 = 95580^2 + 229392^2 .

It is not an unprimeable number, because it can be changed into a prime (61756226069) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1046715667 + ... + 1046715725.

Almost surely, 2^61756226064 is an apocalyptic number.

61756226064 is the 248508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61756226064

61756226064 is an abundant number, since it is smaller than the sum of its proper divisors (135930697149).

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

61756226064 is an frugal number, since it uses more digits than its factorization.

61756226064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 61756226064 in words is "sixty-one billion, seven hundred fifty-six million, two hundred twenty-six thousand, sixty-four".