61106179680 has 1536 divisors, whose sum is σ = 283278643200. Its totient is φ = 12093235200.

The previous prime is 61106179679. The next prime is 61106179681. The reversal of 61106179680 is 8697160116.

It is an interprime number because it is at equal distance from previous prime (61106179679) and next prime (61106179681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61106179681) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 605011630 + ... + 605011730.

It is an arithmetic number, because the mean of its divisors is an integer number (184426200).

Almost surely, 2^61106179680 is an apocalyptic number.

61106179680 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 61106179680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141639321600).

61106179680 is an abundant number, since it is smaller than the sum of its proper divisors (222172463520).

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

61106179680 is a wasteful number, since it uses less digits than its factorization.

61106179680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 61106179680 in words is "sixty-one billion, one hundred six million, one hundred seventy-nine thousand, six hundred eighty".