61221410766 has 96 divisors (see below), whose sum is σ = 145119461760. Its totient is φ = 19290319776.

The previous prime is 61221410749. The next prime is 61221410773. The reversal of 61221410766 is 66701412216.

61221410766 is a `hidden beast` number, since 612 + 21 + 4 + 10 + 7 + 6 + 6 = 666.

It is a super-2 number, since 2×61221410766² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61221410766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4305180 + ... + 4319376.

It is an arithmetic number, because the mean of its divisors is an integer number (1511661060).

Almost surely, 2^61221410766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61221410766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72559730880).

61221410766 is an abundant number, since it is smaller than the sum of its proper divisors (83898050994).

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

61221410766 is a wasteful number, since it uses less digits than its factorization.

61221410766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14700 (or 14688 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 61221410766 in words is "sixty-one billion, two hundred twenty-one million, four hundred ten thousand, seven hundred sixty-six".