61777072868616 has 192 divisors, whose sum is σ = 191510423470080. Its totient is φ = 17623320508800.

The previous prime is 61777072868611. The next prime is 61777072868647. The reversal of 61777072868616 is 61686827077716.

61777072868616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (61777072868611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868022265 + ... + 868093431.

It is an arithmetic number, because the mean of its divisors is an integer number (997450122240).

Almost surely, 2^{61777072868616} 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 61777072868616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95755211735040).

61777072868616 is an abundant number, since it is smaller than the sum of its proper divisors (129733350601464).

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

61777072868616 is a wasteful number, since it uses less digits than its factorization.

61777072868616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73824 (or 73817 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 72.

The spelling of 61777072868616 in words is "sixty-one trillion, seven hundred seventy-seven billion, seventy-two million, eight hundred sixty-eight thousand, six hundred sixteen".