61679142959616 has 600 divisors, whose sum is σ = 230625858258180. Its totient is φ = 16267019747328.

The previous prime is 61679142959611. The next prime is 61679142959747. The reversal of 61679142959616 is 61695924197616.

61679142959616 is a `hidden beast` number, since 6 + 1 + 6 + 7 + 9 + 1 + 4 + 29 + 596 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52307609760000 + 9371533199616 = 7232400^2 + 3061296^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (61679142959611) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25250280 + ... + 27585048.

Almost surely, 2^{61679142959616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61679142959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115312929129090).

61679142959616 is an abundant number, since it is smaller than the sum of its proper divisors (168946715298564).

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

61679142959616 is a wasteful number, since it uses less digits than its factorization.

61679142959616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334826 (or 2334794 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 72.

The spelling of 61679142959616 in words is "sixty-one trillion, six hundred seventy-nine billion, one hundred forty-two million, nine hundred fifty-nine thousand, six hundred sixteen".